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Finding the Third Proportional to 815,382 and 1,918,548

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Solution

The third proportional to 815,382 and 1,918,548 is: 4,514,235.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    815,382 : 1,918,548 = 1,918,548 : x
  2. Step 2: Convert to fraction form
    815,382/1,918,548 = 1,918,548/x
  3. Step 3: Cross multiply
    815,382x = 1,918,548 × 1,918,548
  4. Step 4: Simplify right side
    815,382x = 3,680,826,428,304
  5. Step 5: Solve for x
    x = 3,680,826,428,304/815,382
  6. Step 6: Final answer
    x = 4,514,235.57

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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.