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Finding the Third Proportional to 2,596,224 and 5,681,088

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Solution

The third proportional to 2,596,224 and 5,681,088 is: 12,431,423.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,596,224 : 5,681,088 = 5,681,088 : x
  2. Step 2: Convert to fraction form
    2,596,224/5,681,088 = 5,681,088/x
  3. Step 3: Cross multiply
    2,596,224x = 5,681,088 × 5,681,088
  4. Step 4: Simplify right side
    2,596,224x = 32,274,760,863,744
  5. Step 5: Solve for x
    x = 32,274,760,863,744/2,596,224
  6. Step 6: Final answer
    x = 12,431,423.82

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Why These Related Problems?

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