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Finding the Third Proportional to 886,498 and 1,877,126

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Solution

The third proportional to 886,498 and 1,877,126 is: 3,974,743.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    886,498 : 1,877,126 = 1,877,126 : x
  2. Step 2: Convert to fraction form
    886,498/1,877,126 = 1,877,126/x
  3. Step 3: Cross multiply
    886,498x = 1,877,126 × 1,877,126
  4. Step 4: Simplify right side
    886,498x = 3,523,602,019,876
  5. Step 5: Solve for x
    x = 3,523,602,019,876/886,498
  6. Step 6: Final answer
    x = 3,974,743.34

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Why These Related Problems?

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