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Finding the Third Proportional to 721,238 and 1,542,534

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Solution

The third proportional to 721,238 and 1,542,534 is: 3,299,065.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    721,238 : 1,542,534 = 1,542,534 : x
  2. Step 2: Convert to fraction form
    721,238/1,542,534 = 1,542,534/x
  3. Step 3: Cross multiply
    721,238x = 1,542,534 × 1,542,534
  4. Step 4: Simplify right side
    721,238x = 2,379,411,141,156
  5. Step 5: Solve for x
    x = 2,379,411,141,156/721,238
  6. Step 6: Final answer
    x = 3,299,065.14

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Why These Related Problems?

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