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Finding the Third Proportional to 712,685 and 1,584,738

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Solution

The third proportional to 712,685 and 1,584,738 is: 3,523,849.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    712,685 : 1,584,738 = 1,584,738 : x
  2. Step 2: Convert to fraction form
    712,685/1,584,738 = 1,584,738/x
  3. Step 3: Cross multiply
    712,685x = 1,584,738 × 1,584,738
  4. Step 4: Simplify right side
    712,685x = 2,511,394,528,644
  5. Step 5: Solve for x
    x = 2,511,394,528,644/712,685
  6. Step 6: Final answer
    x = 3,523,849.29

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Why These Related Problems?

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