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Finding the Third Proportional to 724,952 and 1,705,676

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Solution

The third proportional to 724,952 and 1,705,676 is: 4,013,135.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    724,952 : 1,705,676 = 1,705,676 : x
  2. Step 2: Convert to fraction form
    724,952/1,705,676 = 1,705,676/x
  3. Step 3: Cross multiply
    724,952x = 1,705,676 × 1,705,676
  4. Step 4: Simplify right side
    724,952x = 2,909,330,616,976
  5. Step 5: Solve for x
    x = 2,909,330,616,976/724,952
  6. Step 6: Final answer
    x = 4,013,135.51

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.