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Finding the Third Proportional to 861,306 and 1,322,091

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Solution

The third proportional to 861,306 and 1,322,091 is: 2,029,388.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    861,306 : 1,322,091 = 1,322,091 : x
  2. Step 2: Convert to fraction form
    861,306/1,322,091 = 1,322,091/x
  3. Step 3: Cross multiply
    861,306x = 1,322,091 × 1,322,091
  4. Step 4: Simplify right side
    861,306x = 1,747,924,612,281
  5. Step 5: Solve for x
    x = 1,747,924,612,281/861,306
  6. Step 6: Final answer
    x = 2,029,388.64

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.