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Finding the Third Proportional to 486,230 and 1,050,220

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Solution

The third proportional to 486,230 and 1,050,220 is: 2,268,395.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    486,230 : 1,050,220 = 1,050,220 : x
  2. Step 2: Convert to fraction form
    486,230/1,050,220 = 1,050,220/x
  3. Step 3: Cross multiply
    486,230x = 1,050,220 × 1,050,220
  4. Step 4: Simplify right side
    486,230x = 1,102,962,048,400
  5. Step 5: Solve for x
    x = 1,102,962,048,400/486,230
  6. Step 6: Final answer
    x = 2,268,395.71

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.