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Finding the Third Proportional to 478,432 and 1,030,592

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Solution

The third proportional to 478,432 and 1,030,592 is: 2,220,001.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    478,432 : 1,030,592 = 1,030,592 : x
  2. Step 2: Convert to fraction form
    478,432/1,030,592 = 1,030,592/x
  3. Step 3: Cross multiply
    478,432x = 1,030,592 × 1,030,592
  4. Step 4: Simplify right side
    478,432x = 1,062,119,870,464
  5. Step 5: Solve for x
    x = 1,062,119,870,464/478,432
  6. Step 6: Final answer
    x = 2,220,001.74

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.