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Finding the Third Proportional to 581,834.81 and 1,233,640.69

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Solution

The third proportional to 581,834.81 and 1,233,640.69 is: 2,615,638.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    581,834.81 : 1,233,640.69 = 1,233,640.69 : x
  2. Step 2: Convert to fraction form
    581,834.81/1,233,640.69 = 1,233,640.69/x
  3. Step 3: Cross multiply
    581,834.81x = 1,233,640.69 × 1,233,640.69
  4. Step 4: Simplify right side
    581,834.81x = 1,521,869,345,855.47
  5. Step 5: Solve for x
    x = 1,521,869,345,855.47/581,834.81
  6. Step 6: Final answer
    x = 2,615,638.17

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.