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Finding the Third Proportional to 714,522 and 1,105,876

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Solution

The third proportional to 714,522 and 1,105,876 is: 1,711,580.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    714,522 : 1,105,876 = 1,105,876 : x
  2. Step 2: Convert to fraction form
    714,522/1,105,876 = 1,105,876/x
  3. Step 3: Cross multiply
    714,522x = 1,105,876 × 1,105,876
  4. Step 4: Simplify right side
    714,522x = 1,222,961,727,376
  5. Step 5: Solve for x
    x = 1,222,961,727,376/714,522
  6. Step 6: Final answer
    x = 1,711,580.23

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.