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Finding the Third Proportional to 462,593 and 986,260

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Solution

The third proportional to 462,593 and 986,260 is: 2,102,731.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,593 : 986,260 = 986,260 : x
  2. Step 2: Convert to fraction form
    462,593/986,260 = 986,260/x
  3. Step 3: Cross multiply
    462,593x = 986,260 × 986,260
  4. Step 4: Simplify right side
    462,593x = 972,708,787,600
  5. Step 5: Solve for x
    x = 972,708,787,600/462,593
  6. Step 6: Final answer
    x = 2,102,731.32

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.