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Finding the Third Proportional to 712,354 and 1,109,379

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Solution

The third proportional to 712,354 and 1,109,379 is: 1,727,682.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    712,354 : 1,109,379 = 1,109,379 : x
  2. Step 2: Convert to fraction form
    712,354/1,109,379 = 1,109,379/x
  3. Step 3: Cross multiply
    712,354x = 1,109,379 × 1,109,379
  4. Step 4: Simplify right side
    712,354x = 1,230,721,765,641
  5. Step 5: Solve for x
    x = 1,230,721,765,641/712,354
  6. Step 6: Final answer
    x = 1,727,682.82

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.