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Finding the Third Proportional to 712,984 and 1,065,872

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Solution

The third proportional to 712,984 and 1,065,872 is: 1,593,420.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    712,984 : 1,065,872 = 1,065,872 : x
  2. Step 2: Convert to fraction form
    712,984/1,065,872 = 1,065,872/x
  3. Step 3: Cross multiply
    712,984x = 1,065,872 × 1,065,872
  4. Step 4: Simplify right side
    712,984x = 1,136,083,120,384
  5. Step 5: Solve for x
    x = 1,136,083,120,384/712,984
  6. Step 6: Final answer
    x = 1,593,420.22

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.