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Finding the Third Proportional to 468,156 and 1,016,022

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Solution

The third proportional to 468,156 and 1,016,022 is: 2,205,035.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,156 : 1,016,022 = 1,016,022 : x
  2. Step 2: Convert to fraction form
    468,156/1,016,022 = 1,016,022/x
  3. Step 3: Cross multiply
    468,156x = 1,016,022 × 1,016,022
  4. Step 4: Simplify right side
    468,156x = 1,032,300,704,484
  5. Step 5: Solve for x
    x = 1,032,300,704,484/468,156
  6. Step 6: Final answer
    x = 2,205,035.72

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.