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Finding the Third Proportional to 985,914 and 2,018,532

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Solution

The third proportional to 985,914 and 2,018,532 is: 4,132,684.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    985,914 : 2,018,532 = 2,018,532 : x
  2. Step 2: Convert to fraction form
    985,914/2,018,532 = 2,018,532/x
  3. Step 3: Cross multiply
    985,914x = 2,018,532 × 2,018,532
  4. Step 4: Simplify right side
    985,914x = 4,074,471,435,024
  5. Step 5: Solve for x
    x = 4,074,471,435,024/985,914
  6. Step 6: Final answer
    x = 4,132,684.43

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.