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Finding the Third Proportional to 724,871 and 1,569,207

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Solution

The third proportional to 724,871 and 1,569,207 is: 3,397,032.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    724,871 : 1,569,207 = 1,569,207 : x
  2. Step 2: Convert to fraction form
    724,871/1,569,207 = 1,569,207/x
  3. Step 3: Cross multiply
    724,871x = 1,569,207 × 1,569,207
  4. Step 4: Simplify right side
    724,871x = 2,462,410,608,849
  5. Step 5: Solve for x
    x = 2,462,410,608,849/724,871
  6. Step 6: Final answer
    x = 3,397,032.86

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.