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Finding the Third Proportional to 615,792 and 980,603

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Solution

The third proportional to 615,792 and 980,603 is: 1,561,537.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    615,792 : 980,603 = 980,603 : x
  2. Step 2: Convert to fraction form
    615,792/980,603 = 980,603/x
  3. Step 3: Cross multiply
    615,792x = 980,603 × 980,603
  4. Step 4: Simplify right side
    615,792x = 961,582,243,609
  5. Step 5: Solve for x
    x = 961,582,243,609/615,792
  6. Step 6: Final answer
    x = 1,561,537.41

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.