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Finding the Third Proportional to 1,304,962 and 2,766,595

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Solution

The third proportional to 1,304,962 and 2,766,595 is: 5,865,341.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,304,962 : 2,766,595 = 2,766,595 : x
  2. Step 2: Convert to fraction form
    1,304,962/2,766,595 = 2,766,595/x
  3. Step 3: Cross multiply
    1,304,962x = 2,766,595 × 2,766,595
  4. Step 4: Simplify right side
    1,304,962x = 7,654,047,894,025
  5. Step 5: Solve for x
    x = 7,654,047,894,025/1,304,962
  6. Step 6: Final answer
    x = 5,865,341.59

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.