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Finding the Third Proportional to 586,640 and 915,016

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Solution

The third proportional to 586,640 and 915,016 is: 1,427,202.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    586,640 : 915,016 = 915,016 : x
  2. Step 2: Convert to fraction form
    586,640/915,016 = 915,016/x
  3. Step 3: Cross multiply
    586,640x = 915,016 × 915,016
  4. Step 4: Simplify right side
    586,640x = 837,254,280,256
  5. Step 5: Solve for x
    x = 837,254,280,256/586,640
  6. Step 6: Final answer
    x = 1,427,202.85

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.