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Finding the Third Proportional to 738,910 and 944,154

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Solution

The third proportional to 738,910 and 944,154 is: 1,206,407.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    738,910 : 944,154 = 944,154 : x
  2. Step 2: Convert to fraction form
    738,910/944,154 = 944,154/x
  3. Step 3: Cross multiply
    738,910x = 944,154 × 944,154
  4. Step 4: Simplify right side
    738,910x = 891,426,775,716
  5. Step 5: Solve for x
    x = 891,426,775,716/738,910
  6. Step 6: Final answer
    x = 1,206,407.78

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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.