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Finding the Third Proportional to 424,356.19 and 914,869.69

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Solution

The third proportional to 424,356.19 and 914,869.69 is: 1,972,367.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    424,356.19 : 914,869.69 = 914,869.69 : x
  2. Step 2: Convert to fraction form
    424,356.19/914,869.69 = 914,869.69/x
  3. Step 3: Cross multiply
    424,356.19x = 914,869.69 × 914,869.69
  4. Step 4: Simplify right side
    424,356.19x = 836,986,545,106.35
  5. Step 5: Solve for x
    x = 836,986,545,106.35/424,356.19
  6. Step 6: Final answer
    x = 1,972,367.95

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.