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Finding the Third Proportional to 721,186 and 1,542,428

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Solution

The third proportional to 721,186 and 1,542,428 is: 3,298,849.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    721,186 : 1,542,428 = 1,542,428 : x
  2. Step 2: Convert to fraction form
    721,186/1,542,428 = 1,542,428/x
  3. Step 3: Cross multiply
    721,186x = 1,542,428 × 1,542,428
  4. Step 4: Simplify right side
    721,186x = 2,379,084,135,184
  5. Step 5: Solve for x
    x = 2,379,084,135,184/721,186
  6. Step 6: Final answer
    x = 3,298,849.58

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.