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Finding the Third Proportional to 850,959 and 1,259,635.50

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Solution

The third proportional to 850,959 and 1,259,635.50 is: 1,864,580.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    850,959 : 1,259,635.50 = 1,259,635.50 : x
  2. Step 2: Convert to fraction form
    850,959/1,259,635.50 = 1,259,635.50/x
  3. Step 3: Cross multiply
    850,959x = 1,259,635.50 × 1,259,635.50
  4. Step 4: Simplify right side
    850,959x = 1,586,681,592,860.25
  5. Step 5: Solve for x
    x = 1,586,681,592,860.25/850,959
  6. Step 6: Final answer
    x = 1,864,580.54

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.