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Finding the Third Proportional to 595,204 and 1,284,496

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Solution

The third proportional to 595,204 and 1,284,496 is: 2,772,041.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    595,204 : 1,284,496 = 1,284,496 : x
  2. Step 2: Convert to fraction form
    595,204/1,284,496 = 1,284,496/x
  3. Step 3: Cross multiply
    595,204x = 1,284,496 × 1,284,496
  4. Step 4: Simplify right side
    595,204x = 1,649,929,974,016
  5. Step 5: Solve for x
    x = 1,649,929,974,016/595,204
  6. Step 6: Final answer
    x = 2,772,041.14

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.