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Finding the Third Proportional to 555,998 and 1,198,460

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Solution

The third proportional to 555,998 and 1,198,460 is: 2,583,294.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    555,998 : 1,198,460 = 1,198,460 : x
  2. Step 2: Convert to fraction form
    555,998/1,198,460 = 1,198,460/x
  3. Step 3: Cross multiply
    555,998x = 1,198,460 × 1,198,460
  4. Step 4: Simplify right side
    555,998x = 1,436,306,371,600
  5. Step 5: Solve for x
    x = 1,436,306,371,600/555,998
  6. Step 6: Final answer
    x = 2,583,294.13

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.