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Finding the Third Proportional to 1,023,010 and 1,548,729

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Solution

The third proportional to 1,023,010 and 1,548,729 is: 2,344,611.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,023,010 : 1,548,729 = 1,548,729 : x
  2. Step 2: Convert to fraction form
    1,023,010/1,548,729 = 1,548,729/x
  3. Step 3: Cross multiply
    1,023,010x = 1,548,729 × 1,548,729
  4. Step 4: Simplify right side
    1,023,010x = 2,398,561,515,441
  5. Step 5: Solve for x
    x = 2,398,561,515,441/1,023,010
  6. Step 6: Final answer
    x = 2,344,611.99

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.