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Finding the Third Proportional to 2,031,784 and 2,986,984

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Solution

The third proportional to 2,031,784 and 2,986,984 is: 4,391,250.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,031,784 : 2,986,984 = 2,986,984 : x
  2. Step 2: Convert to fraction form
    2,031,784/2,986,984 = 2,986,984/x
  3. Step 3: Cross multiply
    2,031,784x = 2,986,984 × 2,986,984
  4. Step 4: Simplify right side
    2,031,784x = 8,922,073,416,256
  5. Step 5: Solve for x
    x = 8,922,073,416,256/2,031,784
  6. Step 6: Final answer
    x = 4,391,250.95

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.