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Finding the Third Proportional to 656,177 and 1,012,251

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Solution

The third proportional to 656,177 and 1,012,251 is: 1,561,548.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    656,177 : 1,012,251 = 1,012,251 : x
  2. Step 2: Convert to fraction form
    656,177/1,012,251 = 1,012,251/x
  3. Step 3: Cross multiply
    656,177x = 1,012,251 × 1,012,251
  4. Step 4: Simplify right side
    656,177x = 1,024,652,087,001
  5. Step 5: Solve for x
    x = 1,024,652,087,001/656,177
  6. Step 6: Final answer
    x = 1,561,548.31

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.