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Finding the Third Proportional to 658,000,397.25 and 1,022,142,129.75

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Solution

The third proportional to 658,000,397.25 and 1,022,142,129.75 is: 1,587,802,283.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    658,000,397.25 : 1,022,142,129.75 = 1,022,142,129.75 : x
  2. Step 2: Convert to fraction form
    658,000,397.25/1,022,142,129.75 = 1,022,142,129.75/x
  3. Step 3: Cross multiply
    658,000,397.25x = 1,022,142,129.75 × 1,022,142,129.75
  4. Step 4: Simplify right side
    658,000,397.25x = 1,044,774,533,409,865,856
  5. Step 5: Solve for x
    x = 1,044,774,533,409,865,856/658,000,397.25
  6. Step 6: Final answer
    x = 1,587,802,283.67

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.