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Finding the Third Proportional to 433,908 and 914,472

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Solution

The third proportional to 433,908 and 914,472 is: 1,927,272.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    433,908 : 914,472 = 914,472 : x
  2. Step 2: Convert to fraction form
    433,908/914,472 = 914,472/x
  3. Step 3: Cross multiply
    433,908x = 914,472 × 914,472
  4. Step 4: Simplify right side
    433,908x = 836,259,038,784
  5. Step 5: Solve for x
    x = 836,259,038,784/433,908
  6. Step 6: Final answer
    x = 1,927,272.69

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.