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Finding the Third Proportional to 688,292 and 1,036,603

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Solution

The third proportional to 688,292 and 1,036,603 is: 1,561,177.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    688,292 : 1,036,603 = 1,036,603 : x
  2. Step 2: Convert to fraction form
    688,292/1,036,603 = 1,036,603/x
  3. Step 3: Cross multiply
    688,292x = 1,036,603 × 1,036,603
  4. Step 4: Simplify right side
    688,292x = 1,074,545,779,609
  5. Step 5: Solve for x
    x = 1,074,545,779,609/688,292
  6. Step 6: Final answer
    x = 1,561,177.20

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.