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Finding the Third Proportional to 654,368 and 981,552

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Solution

The third proportional to 654,368 and 981,552 is: 1,472,328

Step by Step Solution

  1. Step 1: Write the proportion equation
    654,368 : 981,552 = 981,552 : x
  2. Step 2: Convert to fraction form
    654,368/981,552 = 981,552/x
  3. Step 3: Cross multiply
    654,368x = 981,552 × 981,552
  4. Step 4: Simplify right side
    654,368x = 963,444,328,704
  5. Step 5: Solve for x
    x = 963,444,328,704/654,368
  6. Step 6: Final answer
    x = 1,472,328

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.