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Finding the Third Proportional to 950,120 and 1,426,416

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Solution

The third proportional to 950,120 and 1,426,416 is: 2,141,479.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    950,120 : 1,426,416 = 1,426,416 : x
  2. Step 2: Convert to fraction form
    950,120/1,426,416 = 1,426,416/x
  3. Step 3: Cross multiply
    950,120x = 1,426,416 × 1,426,416
  4. Step 4: Simplify right side
    950,120x = 2,034,662,605,056
  5. Step 5: Solve for x
    x = 2,034,662,605,056/950,120
  6. Step 6: Final answer
    x = 2,141,479.61

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.