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Finding the Third Proportional to 4,286,142 and 5,836,914

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Solution

The third proportional to 4,286,142 and 5,836,914 is: 7,948,771.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,286,142 : 5,836,914 = 5,836,914 : x
  2. Step 2: Convert to fraction form
    4,286,142/5,836,914 = 5,836,914/x
  3. Step 3: Cross multiply
    4,286,142x = 5,836,914 × 5,836,914
  4. Step 4: Simplify right side
    4,286,142x = 34,069,565,043,396
  5. Step 5: Solve for x
    x = 34,069,565,043,396/4,286,142
  6. Step 6: Final answer
    x = 7,948,771.89

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.