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Finding the Third Proportional to 622,894 and 960,902

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Solution

The third proportional to 622,894 and 960,902 is: 1,482,327.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    622,894 : 960,902 = 960,902 : x
  2. Step 2: Convert to fraction form
    622,894/960,902 = 960,902/x
  3. Step 3: Cross multiply
    622,894x = 960,902 × 960,902
  4. Step 4: Simplify right side
    622,894x = 923,332,653,604
  5. Step 5: Solve for x
    x = 923,332,653,604/622,894
  6. Step 6: Final answer
    x = 1,482,327.10

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.