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Finding the Third Proportional to 727,476 and 1,580,856

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Solution

The third proportional to 727,476 and 1,580,856 is: 3,435,310.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    727,476 : 1,580,856 = 1,580,856 : x
  2. Step 2: Convert to fraction form
    727,476/1,580,856 = 1,580,856/x
  3. Step 3: Cross multiply
    727,476x = 1,580,856 × 1,580,856
  4. Step 4: Simplify right side
    727,476x = 2,499,105,692,736
  5. Step 5: Solve for x
    x = 2,499,105,692,736/727,476
  6. Step 6: Final answer
    x = 3,435,310.16

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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.