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Finding the Third Proportional to 2,201,814 and 3,292,470

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Solution

The third proportional to 2,201,814 and 3,292,470 is: 4,923,376.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,201,814 : 3,292,470 = 3,292,470 : x
  2. Step 2: Convert to fraction form
    2,201,814/3,292,470 = 3,292,470/x
  3. Step 3: Cross multiply
    2,201,814x = 3,292,470 × 3,292,470
  4. Step 4: Simplify right side
    2,201,814x = 10,840,358,700,900
  5. Step 5: Solve for x
    x = 10,840,358,700,900/2,201,814
  6. Step 6: Final answer
    x = 4,923,376.23

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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.