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Finding the Third Proportional to 724,158 and 1,081,377

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Solution

The third proportional to 724,158 and 1,081,377 is: 1,614,808.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    724,158 : 1,081,377 = 1,081,377 : x
  2. Step 2: Convert to fraction form
    724,158/1,081,377 = 1,081,377/x
  3. Step 3: Cross multiply
    724,158x = 1,081,377 × 1,081,377
  4. Step 4: Simplify right side
    724,158x = 1,169,376,216,129
  5. Step 5: Solve for x
    x = 1,169,376,216,129/724,158
  6. Step 6: Final answer
    x = 1,614,808.12

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.