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Finding the Third Proportional to 912,918 and 1,211,624

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Solution

The third proportional to 912,918 and 1,211,624 is: 1,608,066.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    912,918 : 1,211,624 = 1,211,624 : x
  2. Step 2: Convert to fraction form
    912,918/1,211,624 = 1,211,624/x
  3. Step 3: Cross multiply
    912,918x = 1,211,624 × 1,211,624
  4. Step 4: Simplify right side
    912,918x = 1,468,032,717,376
  5. Step 5: Solve for x
    x = 1,468,032,717,376/912,918
  6. Step 6: Final answer
    x = 1,608,066.35

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.