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Finding the Third Proportional to 486,228 and 1,050,216

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Solution

The third proportional to 486,228 and 1,050,216 is: 2,268,387.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    486,228 : 1,050,216 = 1,050,216 : x
  2. Step 2: Convert to fraction form
    486,228/1,050,216 = 1,050,216/x
  3. Step 3: Cross multiply
    486,228x = 1,050,216 × 1,050,216
  4. Step 4: Simplify right side
    486,228x = 1,102,953,646,656
  5. Step 5: Solve for x
    x = 1,102,953,646,656/486,228
  6. Step 6: Final answer
    x = 2,268,387.77

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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.