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Finding the Third Proportional to 749,019 and 1,059,840

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Solution

The third proportional to 749,019 and 1,059,840 is: 1,499,642.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    749,019 : 1,059,840 = 1,059,840 : x
  2. Step 2: Convert to fraction form
    749,019/1,059,840 = 1,059,840/x
  3. Step 3: Cross multiply
    749,019x = 1,059,840 × 1,059,840
  4. Step 4: Simplify right side
    749,019x = 1,123,260,825,600
  5. Step 5: Solve for x
    x = 1,123,260,825,600/749,019
  6. Step 6: Final answer
    x = 1,499,642.63

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.