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Finding the Third Proportional to 414,792 and 904,617

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Solution

The third proportional to 414,792 and 904,617 is: 1,972,872.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,792 : 904,617 = 904,617 : x
  2. Step 2: Convert to fraction form
    414,792/904,617 = 904,617/x
  3. Step 3: Cross multiply
    414,792x = 904,617 × 904,617
  4. Step 4: Simplify right side
    414,792x = 818,331,916,689
  5. Step 5: Solve for x
    x = 818,331,916,689/414,792
  6. Step 6: Final answer
    x = 1,972,872.95

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.