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Finding the Third Proportional to 721,370 and 1,542,804

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Solution

The third proportional to 721,370 and 1,542,804 is: 3,299,616.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    721,370 : 1,542,804 = 1,542,804 : x
  2. Step 2: Convert to fraction form
    721,370/1,542,804 = 1,542,804/x
  3. Step 3: Cross multiply
    721,370x = 1,542,804 × 1,542,804
  4. Step 4: Simplify right side
    721,370x = 2,380,244,182,416
  5. Step 5: Solve for x
    x = 2,380,244,182,416/721,370
  6. Step 6: Final answer
    x = 3,299,616.26

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.