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Finding the Third Proportional to 416,184 and 981,840

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Solution

The third proportional to 416,184 and 981,840 is: 2,316,306.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,184 : 981,840 = 981,840 : x
  2. Step 2: Convert to fraction form
    416,184/981,840 = 981,840/x
  3. Step 3: Cross multiply
    416,184x = 981,840 × 981,840
  4. Step 4: Simplify right side
    416,184x = 964,009,785,600
  5. Step 5: Solve for x
    x = 964,009,785,600/416,184
  6. Step 6: Final answer
    x = 2,316,306.70

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.