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Finding the Third Proportional to 2,594,624 and 5,677,969

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Solution

The third proportional to 2,594,624 and 5,677,969 is: 12,425,435.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,594,624 : 5,677,969 = 5,677,969 : x
  2. Step 2: Convert to fraction form
    2,594,624/5,677,969 = 5,677,969/x
  3. Step 3: Cross multiply
    2,594,624x = 5,677,969 × 5,677,969
  4. Step 4: Simplify right side
    2,594,624x = 32,239,331,964,961
  5. Step 5: Solve for x
    x = 32,239,331,964,961/2,594,624
  6. Step 6: Final answer
    x = 12,425,435.04

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.