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Finding the Third Proportional to 2,429,340 and 5,624,040

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Solution

The third proportional to 2,429,340 and 5,624,040 is: 13,019,925.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,429,340 : 5,624,040 = 5,624,040 : x
  2. Step 2: Convert to fraction form
    2,429,340/5,624,040 = 5,624,040/x
  3. Step 3: Cross multiply
    2,429,340x = 5,624,040 × 5,624,040
  4. Step 4: Simplify right side
    2,429,340x = 31,629,825,921,600
  5. Step 5: Solve for x
    x = 31,629,825,921,600/2,429,340
  6. Step 6: Final answer
    x = 13,019,925.54

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.