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Finding the Third Proportional to 1,348,434 and 2,896,978

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Solution

The third proportional to 1,348,434 and 2,896,978 is: 6,223,872.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,348,434 : 2,896,978 = 2,896,978 : x
  2. Step 2: Convert to fraction form
    1,348,434/2,896,978 = 2,896,978/x
  3. Step 3: Cross multiply
    1,348,434x = 2,896,978 × 2,896,978
  4. Step 4: Simplify right side
    1,348,434x = 8,392,481,532,484
  5. Step 5: Solve for x
    x = 8,392,481,532,484/1,348,434
  6. Step 6: Final answer
    x = 6,223,872.68

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.