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Finding the Third Proportional to 486,762.75 and 1,065,288

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Solution

The third proportional to 486,762.75 and 1,065,288 is: 2,331,399.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    486,762.75 : 1,065,288 = 1,065,288 : x
  2. Step 2: Convert to fraction form
    486,762.75/1,065,288 = 1,065,288/x
  3. Step 3: Cross multiply
    486,762.75x = 1,065,288 × 1,065,288
  4. Step 4: Simplify right side
    486,762.75x = 1,134,838,522,944
  5. Step 5: Solve for x
    x = 1,134,838,522,944/486,762.75
  6. Step 6: Final answer
    x = 2,331,399.69

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.