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Finding the Third Proportional to 2,069,498 and 3,091,503

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Solution

The third proportional to 2,069,498 and 3,091,503 is: 4,618,216.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,069,498 : 3,091,503 = 3,091,503 : x
  2. Step 2: Convert to fraction form
    2,069,498/3,091,503 = 3,091,503/x
  3. Step 3: Cross multiply
    2,069,498x = 3,091,503 × 3,091,503
  4. Step 4: Simplify right side
    2,069,498x = 9,557,390,799,009
  5. Step 5: Solve for x
    x = 9,557,390,799,009/2,069,498
  6. Step 6: Final answer
    x = 4,618,216.98

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.