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Finding the Third Proportional to 686,850 and 1,504,920

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Solution

The third proportional to 686,850 and 1,504,920 is: 3,297,349.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    686,850 : 1,504,920 = 1,504,920 : x
  2. Step 2: Convert to fraction form
    686,850/1,504,920 = 1,504,920/x
  3. Step 3: Cross multiply
    686,850x = 1,504,920 × 1,504,920
  4. Step 4: Simplify right side
    686,850x = 2,264,784,206,400
  5. Step 5: Solve for x
    x = 2,264,784,206,400/686,850
  6. Step 6: Final answer
    x = 3,297,349.07

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.