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Finding the Third Proportional to 1,296,468 and 2,051,258

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Solution

The third proportional to 1,296,468 and 2,051,258 is: 3,245,478.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,296,468 : 2,051,258 = 2,051,258 : x
  2. Step 2: Convert to fraction form
    1,296,468/2,051,258 = 2,051,258/x
  3. Step 3: Cross multiply
    1,296,468x = 2,051,258 × 2,051,258
  4. Step 4: Simplify right side
    1,296,468x = 4,207,659,382,564
  5. Step 5: Solve for x
    x = 4,207,659,382,564/1,296,468
  6. Step 6: Final answer
    x = 3,245,478.78

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.