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Finding the Third Proportional to 712,689 and 1,584,746

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Solution

The third proportional to 712,689 and 1,584,746 is: 3,523,865.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    712,689 : 1,584,746 = 1,584,746 : x
  2. Step 2: Convert to fraction form
    712,689/1,584,746 = 1,584,746/x
  3. Step 3: Cross multiply
    712,689x = 1,584,746 × 1,584,746
  4. Step 4: Simplify right side
    712,689x = 2,511,419,884,516
  5. Step 5: Solve for x
    x = 2,511,419,884,516/712,689
  6. Step 6: Final answer
    x = 3,523,865.09

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These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.