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Finding the Third Proportional to 461,581 and 1,041,685

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Solution

The third proportional to 461,581 and 1,041,685 is: 2,350,849.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,581 : 1,041,685 = 1,041,685 : x
  2. Step 2: Convert to fraction form
    461,581/1,041,685 = 1,041,685/x
  3. Step 3: Cross multiply
    461,581x = 1,041,685 × 1,041,685
  4. Step 4: Simplify right side
    461,581x = 1,085,107,639,225
  5. Step 5: Solve for x
    x = 1,085,107,639,225/461,581
  6. Step 6: Final answer
    x = 2,350,849.88

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Why These Related Problems?

These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.