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Finding the Third Proportional to 724,871 and 1,092,653

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Solution

The third proportional to 724,871 and 1,092,653 is: 1,647,038.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    724,871 : 1,092,653 = 1,092,653 : x
  2. Step 2: Convert to fraction form
    724,871/1,092,653 = 1,092,653/x
  3. Step 3: Cross multiply
    724,871x = 1,092,653 × 1,092,653
  4. Step 4: Simplify right side
    724,871x = 1,193,890,578,409
  5. Step 5: Solve for x
    x = 1,193,890,578,409/724,871
  6. Step 6: Final answer
    x = 1,647,038.68

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.