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Finding the Third Proportional to 410,707.65 and 898,839.28

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Solution

The third proportional to 410,707.65 and 898,839.28 is: 1,967,121.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,707.65 : 898,839.28 = 898,839.28 : x
  2. Step 2: Convert to fraction form
    410,707.65/898,839.28 = 898,839.28/x
  3. Step 3: Cross multiply
    410,707.65x = 898,839.28 × 898,839.28
  4. Step 4: Simplify right side
    410,707.65x = 807,912,053,518.02
  5. Step 5: Solve for x
    x = 807,912,053,518.02/410,707.65
  6. Step 6: Final answer
    x = 1,967,121.99

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.