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Finding the Third Proportional to 454,772.25 and 990,226.13

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Solution

The third proportional to 454,772.25 and 990,226.13 is: 2,156,129.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    454,772.25 : 990,226.13 = 990,226.13 : x
  2. Step 2: Convert to fraction form
    454,772.25/990,226.13 = 990,226.13/x
  3. Step 3: Cross multiply
    454,772.25x = 990,226.13 × 990,226.13
  4. Step 4: Simplify right side
    454,772.25x = 980,547,778,632.52
  5. Step 5: Solve for x
    x = 980,547,778,632.52/454,772.25
  6. Step 6: Final answer
    x = 2,156,129.31

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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.