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Finding the Third Proportional to 815,350 and 1,918,468

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Solution

The third proportional to 815,350 and 1,918,468 is: 4,514,036.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    815,350 : 1,918,468 = 1,918,468 : x
  2. Step 2: Convert to fraction form
    815,350/1,918,468 = 1,918,468/x
  3. Step 3: Cross multiply
    815,350x = 1,918,468 × 1,918,468
  4. Step 4: Simplify right side
    815,350x = 3,680,519,467,024
  5. Step 5: Solve for x
    x = 3,680,519,467,024/815,350
  6. Step 6: Final answer
    x = 4,514,036.26

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.