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Finding the Third Proportional to 781,002 and 1,583,730

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Solution

The third proportional to 781,002 and 1,583,730 is: 3,211,516.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    781,002 : 1,583,730 = 1,583,730 : x
  2. Step 2: Convert to fraction form
    781,002/1,583,730 = 1,583,730/x
  3. Step 3: Cross multiply
    781,002x = 1,583,730 × 1,583,730
  4. Step 4: Simplify right side
    781,002x = 2,508,200,712,900
  5. Step 5: Solve for x
    x = 2,508,200,712,900/781,002
  6. Step 6: Final answer
    x = 3,211,516.38

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.