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Finding the Third Proportional to 484,423.13 and 1,131,470.81

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Solution

The third proportional to 484,423.13 and 1,131,470.81 is: 2,642,785.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    484,423.13 : 1,131,470.81 = 1,131,470.81 : x
  2. Step 2: Convert to fraction form
    484,423.13/1,131,470.81 = 1,131,470.81/x
  3. Step 3: Cross multiply
    484,423.13x = 1,131,470.81 × 1,131,470.81
  4. Step 4: Simplify right side
    484,423.13x = 1,280,226,199,539.41
  5. Step 5: Solve for x
    x = 1,280,226,199,539.41/484,423.13
  6. Step 6: Final answer
    x = 2,642,785.06

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.