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Finding the Third Proportional to 2,426,896 and 5,296,160

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Solution

The third proportional to 2,426,896 and 5,296,160 is: 11,557,689.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,426,896 : 5,296,160 = 5,296,160 : x
  2. Step 2: Convert to fraction form
    2,426,896/5,296,160 = 5,296,160/x
  3. Step 3: Cross multiply
    2,426,896x = 5,296,160 × 5,296,160
  4. Step 4: Simplify right side
    2,426,896x = 28,049,310,745,600
  5. Step 5: Solve for x
    x = 28,049,310,745,600/2,426,896
  6. Step 6: Final answer
    x = 11,557,689.64

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.