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Finding the Third Proportional to 828,920 and 1,246,458

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Solution

The third proportional to 828,920 and 1,246,458 is: 1,874,315.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    828,920 : 1,246,458 = 1,246,458 : x
  2. Step 2: Convert to fraction form
    828,920/1,246,458 = 1,246,458/x
  3. Step 3: Cross multiply
    828,920x = 1,246,458 × 1,246,458
  4. Step 4: Simplify right side
    828,920x = 1,553,657,545,764
  5. Step 5: Solve for x
    x = 1,553,657,545,764/828,920
  6. Step 6: Final answer
    x = 1,874,315.43

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.