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Finding the Third Proportional to 650,567 and 1,015,196

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Solution

The third proportional to 650,567 and 1,015,196 is: 1,584,191.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    650,567 : 1,015,196 = 1,015,196 : x
  2. Step 2: Convert to fraction form
    650,567/1,015,196 = 1,015,196/x
  3. Step 3: Cross multiply
    650,567x = 1,015,196 × 1,015,196
  4. Step 4: Simplify right side
    650,567x = 1,030,622,918,416
  5. Step 5: Solve for x
    x = 1,030,622,918,416/650,567
  6. Step 6: Final answer
    x = 1,584,191.82

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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.