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Finding the Third Proportional to 631,320 and 947,711

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Solution

The third proportional to 631,320 and 947,711 is: 1,422,663.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    631,320 : 947,711 = 947,711 : x
  2. Step 2: Convert to fraction form
    631,320/947,711 = 947,711/x
  3. Step 3: Cross multiply
    631,320x = 947,711 × 947,711
  4. Step 4: Simplify right side
    631,320x = 898,156,139,521
  5. Step 5: Solve for x
    x = 898,156,139,521/631,320
  6. Step 6: Final answer
    x = 1,422,663.85

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.