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Finding the Third Proportional to 727,068 and 1,555,224

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Solution

The third proportional to 727,068 and 1,555,224 is: 3,326,678.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    727,068 : 1,555,224 = 1,555,224 : x
  2. Step 2: Convert to fraction form
    727,068/1,555,224 = 1,555,224/x
  3. Step 3: Cross multiply
    727,068x = 1,555,224 × 1,555,224
  4. Step 4: Simplify right side
    727,068x = 2,418,721,690,176
  5. Step 5: Solve for x
    x = 2,418,721,690,176/727,068
  6. Step 6: Final answer
    x = 3,326,678.78

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.