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Finding the Third Proportional to 600,366 and 912,926

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Solution

The third proportional to 600,366 and 912,926 is: 1,388,209.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    600,366 : 912,926 = 912,926 : x
  2. Step 2: Convert to fraction form
    600,366/912,926 = 912,926/x
  3. Step 3: Cross multiply
    600,366x = 912,926 × 912,926
  4. Step 4: Simplify right side
    600,366x = 833,433,881,476
  5. Step 5: Solve for x
    x = 833,433,881,476/600,366
  6. Step 6: Final answer
    x = 1,388,209.66

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.