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Finding the Third Proportional to 2,624,432 and 5,739,040

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Solution

The third proportional to 2,624,432 and 5,739,040 is: 12,549,984.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,624,432 : 5,739,040 = 5,739,040 : x
  2. Step 2: Convert to fraction form
    2,624,432/5,739,040 = 5,739,040/x
  3. Step 3: Cross multiply
    2,624,432x = 5,739,040 × 5,739,040
  4. Step 4: Simplify right side
    2,624,432x = 32,936,580,121,600
  5. Step 5: Solve for x
    x = 32,936,580,121,600/2,624,432
  6. Step 6: Final answer
    x = 12,549,984.20

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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.