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Finding the Third Proportional to 938,882 and 1,412,823

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Solution

The third proportional to 938,882 and 1,412,823 is: 2,126,006.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    938,882 : 1,412,823 = 1,412,823 : x
  2. Step 2: Convert to fraction form
    938,882/1,412,823 = 1,412,823/x
  3. Step 3: Cross multiply
    938,882x = 1,412,823 × 1,412,823
  4. Step 4: Simplify right side
    938,882x = 1,996,068,829,329
  5. Step 5: Solve for x
    x = 1,996,068,829,329/938,882
  6. Step 6: Final answer
    x = 2,126,006.07

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.