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Finding the Third Proportional to 489,041.30 and 1,062,289.69

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Solution

The third proportional to 489,041.30 and 1,062,289.69 is: 2,307,493.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,041.30 : 1,062,289.69 = 1,062,289.69 : x
  2. Step 2: Convert to fraction form
    489,041.30/1,062,289.69 = 1,062,289.69/x
  3. Step 3: Cross multiply
    489,041.30x = 1,062,289.69 × 1,062,289.69
  4. Step 4: Simplify right side
    489,041.30x = 1,128,459,380,168.85
  5. Step 5: Solve for x
    x = 1,128,459,380,168.85/489,041.30
  6. Step 6: Final answer
    x = 2,307,493.02

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.