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Finding the Third Proportional to 727,410 and 1,580,730

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Solution

The third proportional to 727,410 and 1,580,730 is: 3,435,074.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    727,410 : 1,580,730 = 1,580,730 : x
  2. Step 2: Convert to fraction form
    727,410/1,580,730 = 1,580,730/x
  3. Step 3: Cross multiply
    727,410x = 1,580,730 × 1,580,730
  4. Step 4: Simplify right side
    727,410x = 2,498,707,332,900
  5. Step 5: Solve for x
    x = 2,498,707,332,900/727,410
  6. Step 6: Final answer
    x = 3,435,074.21

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.