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Finding the Third Proportional to 463,560 and 962,646

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Solution

The third proportional to 463,560 and 962,646 is: 1,999,066.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,560 : 962,646 = 962,646 : x
  2. Step 2: Convert to fraction form
    463,560/962,646 = 962,646/x
  3. Step 3: Cross multiply
    463,560x = 962,646 × 962,646
  4. Step 4: Simplify right side
    463,560x = 926,687,321,316
  5. Step 5: Solve for x
    x = 926,687,321,316/463,560
  6. Step 6: Final answer
    x = 1,999,066.62

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.