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Finding the Third Proportional to 2,429,500 and 5,624,442

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Solution

The third proportional to 2,429,500 and 5,624,442 is: 13,020,929.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,429,500 : 5,624,442 = 5,624,442 : x
  2. Step 2: Convert to fraction form
    2,429,500/5,624,442 = 5,624,442/x
  3. Step 3: Cross multiply
    2,429,500x = 5,624,442 × 5,624,442
  4. Step 4: Simplify right side
    2,429,500x = 31,634,347,811,364
  5. Step 5: Solve for x
    x = 31,634,347,811,364/2,429,500
  6. Step 6: Final answer
    x = 13,020,929.33

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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.