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Finding the Third Proportional to 1,205,005 and 1,761,325

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Solution

The third proportional to 1,205,005 and 1,761,325 is: 2,574,483.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,205,005 : 1,761,325 = 1,761,325 : x
  2. Step 2: Convert to fraction form
    1,205,005/1,761,325 = 1,761,325/x
  3. Step 3: Cross multiply
    1,205,005x = 1,761,325 × 1,761,325
  4. Step 4: Simplify right side
    1,205,005x = 3,102,265,755,625
  5. Step 5: Solve for x
    x = 3,102,265,755,625/1,205,005
  6. Step 6: Final answer
    x = 2,574,483.72

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.