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Finding the Third Proportional to 666,306 and 981,963

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Solution

The third proportional to 666,306 and 981,963 is: 1,447,159.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    666,306 : 981,963 = 981,963 : x
  2. Step 2: Convert to fraction form
    666,306/981,963 = 981,963/x
  3. Step 3: Cross multiply
    666,306x = 981,963 × 981,963
  4. Step 4: Simplify right side
    666,306x = 964,251,333,369
  5. Step 5: Solve for x
    x = 964,251,333,369/666,306
  6. Step 6: Final answer
    x = 1,447,159.91

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.