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Finding the Third Proportional to 1,086,984 and 2,557,656

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Solution

The third proportional to 1,086,984 and 2,557,656 is: 6,018,123.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,086,984 : 2,557,656 = 2,557,656 : x
  2. Step 2: Convert to fraction form
    1,086,984/2,557,656 = 2,557,656/x
  3. Step 3: Cross multiply
    1,086,984x = 2,557,656 × 2,557,656
  4. Step 4: Simplify right side
    1,086,984x = 6,541,604,214,336
  5. Step 5: Solve for x
    x = 6,541,604,214,336/1,086,984
  6. Step 6: Final answer
    x = 6,018,123.74

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These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.