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Finding the Third Proportional to 819,762.75 and 1,146,339

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Solution

The third proportional to 819,762.75 and 1,146,339 is: 1,603,016.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    819,762.75 : 1,146,339 = 1,146,339 : x
  2. Step 2: Convert to fraction form
    819,762.75/1,146,339 = 1,146,339/x
  3. Step 3: Cross multiply
    819,762.75x = 1,146,339 × 1,146,339
  4. Step 4: Simplify right side
    819,762.75x = 1,314,093,102,921
  5. Step 5: Solve for x
    x = 1,314,093,102,921/819,762.75
  6. Step 6: Final answer
    x = 1,603,016.36

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.