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Finding the Third Proportional to 738,908 and 944,151

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Solution

The third proportional to 738,908 and 944,151 is: 1,206,403.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    738,908 : 944,151 = 944,151 : x
  2. Step 2: Convert to fraction form
    738,908/944,151 = 944,151/x
  3. Step 3: Cross multiply
    738,908x = 944,151 × 944,151
  4. Step 4: Simplify right side
    738,908x = 891,421,110,801
  5. Step 5: Solve for x
    x = 891,421,110,801/738,908
  6. Step 6: Final answer
    x = 1,206,403.38

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Why These Related Problems?

These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.