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Finding the Third Proportional to 641,194 and 1,000,610

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Solution

The third proportional to 641,194 and 1,000,610 is: 1,561,493.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    641,194 : 1,000,610 = 1,000,610 : x
  2. Step 2: Convert to fraction form
    641,194/1,000,610 = 1,000,610/x
  3. Step 3: Cross multiply
    641,194x = 1,000,610 × 1,000,610
  4. Step 4: Simplify right side
    641,194x = 1,001,220,372,100
  5. Step 5: Solve for x
    x = 1,001,220,372,100/641,194
  6. Step 6: Final answer
    x = 1,561,493.67

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.