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Finding the Third Proportional to 724,502 and 1,588,972

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Solution

The third proportional to 724,502 and 1,588,972 is: 3,484,920.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    724,502 : 1,588,972 = 1,588,972 : x
  2. Step 2: Convert to fraction form
    724,502/1,588,972 = 1,588,972/x
  3. Step 3: Cross multiply
    724,502x = 1,588,972 × 1,588,972
  4. Step 4: Simplify right side
    724,502x = 2,524,832,016,784
  5. Step 5: Solve for x
    x = 2,524,832,016,784/724,502
  6. Step 6: Final answer
    x = 3,484,920.70

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.