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Finding the Third Proportional to 714,876 and 1,105,902

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Solution

The third proportional to 714,876 and 1,105,902 is: 1,710,813.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    714,876 : 1,105,902 = 1,105,902 : x
  2. Step 2: Convert to fraction form
    714,876/1,105,902 = 1,105,902/x
  3. Step 3: Cross multiply
    714,876x = 1,105,902 × 1,105,902
  4. Step 4: Simplify right side
    714,876x = 1,223,019,233,604
  5. Step 5: Solve for x
    x = 1,223,019,233,604/714,876
  6. Step 6: Final answer
    x = 1,710,813.11

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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.