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Finding the Third Proportional to 508,746 and 1,091,251

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Solution

The third proportional to 508,746 and 1,091,251 is: 2,340,713.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    508,746 : 1,091,251 = 1,091,251 : x
  2. Step 2: Convert to fraction form
    508,746/1,091,251 = 1,091,251/x
  3. Step 3: Cross multiply
    508,746x = 1,091,251 × 1,091,251
  4. Step 4: Simplify right side
    508,746x = 1,190,828,745,001
  5. Step 5: Solve for x
    x = 1,190,828,745,001/508,746
  6. Step 6: Final answer
    x = 2,340,713.73

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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.