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Finding the Third Proportional to 443,454 and 972,747

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Solution

The third proportional to 443,454 and 972,747 is: 2,133,787.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    443,454 : 972,747 = 972,747 : x
  2. Step 2: Convert to fraction form
    443,454/972,747 = 972,747/x
  3. Step 3: Cross multiply
    443,454x = 972,747 × 972,747
  4. Step 4: Simplify right side
    443,454x = 946,236,726,009
  5. Step 5: Solve for x
    x = 946,236,726,009/443,454
  6. Step 6: Final answer
    x = 2,133,787.78

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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.