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Finding the Third Proportional to 912,750 and 1,418,907

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Solution

The third proportional to 912,750 and 1,418,907 is: 2,205,748.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    912,750 : 1,418,907 = 1,418,907 : x
  2. Step 2: Convert to fraction form
    912,750/1,418,907 = 1,418,907/x
  3. Step 3: Cross multiply
    912,750x = 1,418,907 × 1,418,907
  4. Step 4: Simplify right side
    912,750x = 2,013,297,074,649
  5. Step 5: Solve for x
    x = 2,013,297,074,649/912,750
  6. Step 6: Final answer
    x = 2,205,748.64

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.