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Finding the Third Proportional to 892,810 and 1,341,251

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Solution

The third proportional to 892,810 and 1,341,251 is: 2,014,935.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    892,810 : 1,341,251 = 1,341,251 : x
  2. Step 2: Convert to fraction form
    892,810/1,341,251 = 1,341,251/x
  3. Step 3: Cross multiply
    892,810x = 1,341,251 × 1,341,251
  4. Step 4: Simplify right side
    892,810x = 1,798,954,245,001
  5. Step 5: Solve for x
    x = 1,798,954,245,001/892,810
  6. Step 6: Final answer
    x = 2,014,935.14

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.