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Finding the Third Proportional to 424,347 and 909,366.38

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Solution

The third proportional to 424,347 and 909,366.38 is: 1,948,752.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    424,347 : 909,366.38 = 909,366.38 : x
  2. Step 2: Convert to fraction form
    424,347/909,366.38 = 909,366.38/x
  3. Step 3: Cross multiply
    424,347x = 909,366.38 × 909,366.38
  4. Step 4: Simplify right side
    424,347x = 826,947,203,980.64
  5. Step 5: Solve for x
    x = 826,947,203,980.64/424,347
  6. Step 6: Final answer
    x = 1,948,752.33

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.