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Finding the Third Proportional to 2,704,128 and 5,854,464

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Solution

The third proportional to 2,704,128 and 5,854,464 is: 12,674,972.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,704,128 : 5,854,464 = 5,854,464 : x
  2. Step 2: Convert to fraction form
    2,704,128/5,854,464 = 5,854,464/x
  3. Step 3: Cross multiply
    2,704,128x = 5,854,464 × 5,854,464
  4. Step 4: Simplify right side
    2,704,128x = 34,274,748,727,296
  5. Step 5: Solve for x
    x = 34,274,748,727,296/2,704,128
  6. Step 6: Final answer
    x = 12,674,972.76

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.