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Finding the Third Proportional to 727,440 and 1,580,776.50

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Solution

The third proportional to 727,440 and 1,580,776.50 is: 3,435,134.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    727,440 : 1,580,776.50 = 1,580,776.50 : x
  2. Step 2: Convert to fraction form
    727,440/1,580,776.50 = 1,580,776.50/x
  3. Step 3: Cross multiply
    727,440x = 1,580,776.50 × 1,580,776.50
  4. Step 4: Simplify right side
    727,440x = 2,498,854,342,952.25
  5. Step 5: Solve for x
    x = 2,498,854,342,952.25/727,440
  6. Step 6: Final answer
    x = 3,435,134.64

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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.