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Finding the Third Proportional to 656,241 and 1,028,100

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Solution

The third proportional to 656,241 and 1,028,100 is: 1,610,672.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    656,241 : 1,028,100 = 1,028,100 : x
  2. Step 2: Convert to fraction form
    656,241/1,028,100 = 1,028,100/x
  3. Step 3: Cross multiply
    656,241x = 1,028,100 × 1,028,100
  4. Step 4: Simplify right side
    656,241x = 1,056,989,610,000
  5. Step 5: Solve for x
    x = 1,056,989,610,000/656,241
  6. Step 6: Final answer
    x = 1,610,672.92

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.