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Finding the Third Proportional to 1,335,258 and 2,969,046

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Solution

The third proportional to 1,335,258 and 2,969,046 is: 6,601,895.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,335,258 : 2,969,046 = 2,969,046 : x
  2. Step 2: Convert to fraction form
    1,335,258/2,969,046 = 2,969,046/x
  3. Step 3: Cross multiply
    1,335,258x = 2,969,046 × 2,969,046
  4. Step 4: Simplify right side
    1,335,258x = 8,815,234,150,116
  5. Step 5: Solve for x
    x = 8,815,234,150,116/1,335,258
  6. Step 6: Final answer
    x = 6,601,895.78

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These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.