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Finding the Third Proportional to 738,724 and 1,002,786

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Solution

The third proportional to 738,724 and 1,002,786 is: 1,361,238.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    738,724 : 1,002,786 = 1,002,786 : x
  2. Step 2: Convert to fraction form
    738,724/1,002,786 = 1,002,786/x
  3. Step 3: Cross multiply
    738,724x = 1,002,786 × 1,002,786
  4. Step 4: Simplify right side
    738,724x = 1,005,579,761,796
  5. Step 5: Solve for x
    x = 1,005,579,761,796/738,724
  6. Step 6: Final answer
    x = 1,361,238.79

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.