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Finding the Third Proportional to 852,466 and 1,272,864

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Solution

The third proportional to 852,466 and 1,272,864 is: 1,900,583.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    852,466 : 1,272,864 = 1,272,864 : x
  2. Step 2: Convert to fraction form
    852,466/1,272,864 = 1,272,864/x
  3. Step 3: Cross multiply
    852,466x = 1,272,864 × 1,272,864
  4. Step 4: Simplify right side
    852,466x = 1,620,182,762,496
  5. Step 5: Solve for x
    x = 1,620,182,762,496/852,466
  6. Step 6: Final answer
    x = 1,900,583.44

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.