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Finding the Third Proportional to 738,726 and 1,002,789

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Solution

The third proportional to 738,726 and 1,002,789 is: 1,361,243.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    738,726 : 1,002,789 = 1,002,789 : x
  2. Step 2: Convert to fraction form
    738,726/1,002,789 = 1,002,789/x
  3. Step 3: Cross multiply
    738,726x = 1,002,789 × 1,002,789
  4. Step 4: Simplify right side
    738,726x = 1,005,585,778,521
  5. Step 5: Solve for x
    x = 1,005,585,778,521/738,726
  6. Step 6: Final answer
    x = 1,361,243.25

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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.