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Finding the Third Proportional to 646,288 and 1,375,520

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Solution

The third proportional to 646,288 and 1,375,520 is: 2,927,572.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    646,288 : 1,375,520 = 1,375,520 : x
  2. Step 2: Convert to fraction form
    646,288/1,375,520 = 1,375,520/x
  3. Step 3: Cross multiply
    646,288x = 1,375,520 × 1,375,520
  4. Step 4: Simplify right side
    646,288x = 1,892,055,270,400
  5. Step 5: Solve for x
    x = 1,892,055,270,400/646,288
  6. Step 6: Final answer
    x = 2,927,572.96

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.