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Finding the Third Proportional to 711,756 and 1,566,114

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Solution

The third proportional to 711,756 and 1,566,114 is: 3,446,002.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    711,756 : 1,566,114 = 1,566,114 : x
  2. Step 2: Convert to fraction form
    711,756/1,566,114 = 1,566,114/x
  3. Step 3: Cross multiply
    711,756x = 1,566,114 × 1,566,114
  4. Step 4: Simplify right side
    711,756x = 2,452,713,060,996
  5. Step 5: Solve for x
    x = 2,452,713,060,996/711,756
  6. Step 6: Final answer
    x = 3,446,002.65

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.