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Finding the Third Proportional to 4,829,186 and 6,535,171

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Solution

The third proportional to 4,829,186 and 6,535,171 is: 8,843,821.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,829,186 : 6,535,171 = 6,535,171 : x
  2. Step 2: Convert to fraction form
    4,829,186/6,535,171 = 6,535,171/x
  3. Step 3: Cross multiply
    4,829,186x = 6,535,171 × 6,535,171
  4. Step 4: Simplify right side
    4,829,186x = 42,708,459,999,241
  5. Step 5: Solve for x
    x = 42,708,459,999,241/4,829,186
  6. Step 6: Final answer
    x = 8,843,821.71

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.