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Finding the Third Proportional to 658,000,386 and 1,022,142,111.50

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Solution

The third proportional to 658,000,386 and 1,022,142,111.50 is: 1,587,802,254.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    658,000,386 : 1,022,142,111.50 = 1,022,142,111.50 : x
  2. Step 2: Convert to fraction form
    658,000,386/1,022,142,111.50 = 1,022,142,111.50/x
  3. Step 3: Cross multiply
    658,000,386x = 1,022,142,111.50 × 1,022,142,111.50
  4. Step 4: Simplify right side
    658,000,386x = 1,044,774,496,101,678,464
  5. Step 5: Solve for x
    x = 1,044,774,496,101,678,464/658,000,386
  6. Step 6: Final answer
    x = 1,587,802,254.12

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