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Finding the Third Proportional to 650,421 and 1,000,975.50

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Solution

The third proportional to 650,421 and 1,000,975.50 is: 1,540,466.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    650,421 : 1,000,975.50 = 1,000,975.50 : x
  2. Step 2: Convert to fraction form
    650,421/1,000,975.50 = 1,000,975.50/x
  3. Step 3: Cross multiply
    650,421x = 1,000,975.50 × 1,000,975.50
  4. Step 4: Simplify right side
    650,421x = 1,001,951,951,600.25
  5. Step 5: Solve for x
    x = 1,001,951,951,600.25/650,421
  6. Step 6: Final answer
    x = 1,540,466.79

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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.