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Finding the Third Proportional to 413,613 and 911,028

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Solution

The third proportional to 413,613 and 911,028 is: 2,006,639.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,613 : 911,028 = 911,028 : x
  2. Step 2: Convert to fraction form
    413,613/911,028 = 911,028/x
  3. Step 3: Cross multiply
    413,613x = 911,028 × 911,028
  4. Step 4: Simplify right side
    413,613x = 829,972,016,784
  5. Step 5: Solve for x
    x = 829,972,016,784/413,613
  6. Step 6: Final answer
    x = 2,006,639.10

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.