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Finding the Third Proportional to 2,594,632 and 5,677,986

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Solution

The third proportional to 2,594,632 and 5,677,986 is: 12,425,471.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,594,632 : 5,677,986 = 5,677,986 : x
  2. Step 2: Convert to fraction form
    2,594,632/5,677,986 = 5,677,986/x
  3. Step 3: Cross multiply
    2,594,632x = 5,677,986 × 5,677,986
  4. Step 4: Simplify right side
    2,594,632x = 32,239,525,016,196
  5. Step 5: Solve for x
    x = 32,239,525,016,196/2,594,632
  6. Step 6: Final answer
    x = 12,425,471.13

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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.