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Finding the Third Proportional to 570,696 and 1,215,120

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Solution

The third proportional to 570,696 and 1,215,120 is: 2,587,220.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    570,696 : 1,215,120 = 1,215,120 : x
  2. Step 2: Convert to fraction form
    570,696/1,215,120 = 1,215,120/x
  3. Step 3: Cross multiply
    570,696x = 1,215,120 × 1,215,120
  4. Step 4: Simplify right side
    570,696x = 1,476,516,614,400
  5. Step 5: Solve for x
    x = 1,476,516,614,400/570,696
  6. Step 6: Final answer
    x = 2,587,220.89

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.