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Finding the Third Proportional to 2,506,976 and 3,819,216

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Solution

The third proportional to 2,506,976 and 3,819,216 is: 5,818,328.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,506,976 : 3,819,216 = 3,819,216 : x
  2. Step 2: Convert to fraction form
    2,506,976/3,819,216 = 3,819,216/x
  3. Step 3: Cross multiply
    2,506,976x = 3,819,216 × 3,819,216
  4. Step 4: Simplify right side
    2,506,976x = 14,586,410,854,656
  5. Step 5: Solve for x
    x = 14,586,410,854,656/2,506,976
  6. Step 6: Final answer
    x = 5,818,328.88

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.