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Finding the Third Proportional to 484,272 and 956,124

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Solution

The third proportional to 484,272 and 956,124 is: 1,887,726.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    484,272 : 956,124 = 956,124 : x
  2. Step 2: Convert to fraction form
    484,272/956,124 = 956,124/x
  3. Step 3: Cross multiply
    484,272x = 956,124 × 956,124
  4. Step 4: Simplify right side
    484,272x = 914,173,103,376
  5. Step 5: Solve for x
    x = 914,173,103,376/484,272
  6. Step 6: Final answer
    x = 1,887,726.53

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.