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Finding the Third Proportional to 391,582 and 855,065

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Solution

The third proportional to 391,582 and 855,065 is: 1,867,134.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    391,582 : 855,065 = 855,065 : x
  2. Step 2: Convert to fraction form
    391,582/855,065 = 855,065/x
  3. Step 3: Cross multiply
    391,582x = 855,065 × 855,065
  4. Step 4: Simplify right side
    391,582x = 731,136,154,225
  5. Step 5: Solve for x
    x = 731,136,154,225/391,582
  6. Step 6: Final answer
    x = 1,867,134.23

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.