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Finding the Third Proportional to 424,036.66 and 914,503.45

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Solution

The third proportional to 424,036.66 and 914,503.45 is: 1,972,274.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    424,036.66 : 914,503.45 = 914,503.45 : x
  2. Step 2: Convert to fraction form
    424,036.66/914,503.45 = 914,503.45/x
  3. Step 3: Cross multiply
    424,036.66x = 914,503.45 × 914,503.45
  4. Step 4: Simplify right side
    424,036.66x = 836,316,555,060.70
  5. Step 5: Solve for x
    x = 836,316,555,060.70/424,036.66
  6. Step 6: Final answer
    x = 1,972,274.17

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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.