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Finding the Third Proportional to 1,142,780 and 2,437,434

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Solution

The third proportional to 1,142,780 and 2,437,434 is: 5,198,799.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,142,780 : 2,437,434 = 2,437,434 : x
  2. Step 2: Convert to fraction form
    1,142,780/2,437,434 = 2,437,434/x
  3. Step 3: Cross multiply
    1,142,780x = 2,437,434 × 2,437,434
  4. Step 4: Simplify right side
    1,142,780x = 5,941,084,504,356
  5. Step 5: Solve for x
    x = 5,941,084,504,356/1,142,780
  6. Step 6: Final answer
    x = 5,198,799.86

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.