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Finding the Third Proportional to 477,228 and 1,029,180

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Solution

The third proportional to 477,228 and 1,029,180 is: 2,219,508.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,228 : 1,029,180 = 1,029,180 : x
  2. Step 2: Convert to fraction form
    477,228/1,029,180 = 1,029,180/x
  3. Step 3: Cross multiply
    477,228x = 1,029,180 × 1,029,180
  4. Step 4: Simplify right side
    477,228x = 1,059,211,472,400
  5. Step 5: Solve for x
    x = 1,059,211,472,400/477,228
  6. Step 6: Final answer
    x = 2,219,508.23

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