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Finding the Third Proportional to 1,661,470 and 2,489,434

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Solution

The third proportional to 1,661,470 and 2,489,434 is: 3,729,999.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,661,470 : 2,489,434 = 2,489,434 : x
  2. Step 2: Convert to fraction form
    1,661,470/2,489,434 = 2,489,434/x
  3. Step 3: Cross multiply
    1,661,470x = 2,489,434 × 2,489,434
  4. Step 4: Simplify right side
    1,661,470x = 6,197,281,640,356
  5. Step 5: Solve for x
    x = 6,197,281,640,356/1,661,470
  6. Step 6: Final answer
    x = 3,729,999.12

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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.