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Finding the Third Proportional to 4,291,866 and 6,015,465

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Solution

The third proportional to 4,291,866 and 6,015,465 is: 8,431,255.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,291,866 : 6,015,465 = 6,015,465 : x
  2. Step 2: Convert to fraction form
    4,291,866/6,015,465 = 6,015,465/x
  3. Step 3: Cross multiply
    4,291,866x = 6,015,465 × 6,015,465
  4. Step 4: Simplify right side
    4,291,866x = 36,185,819,166,225
  5. Step 5: Solve for x
    x = 36,185,819,166,225/4,291,866
  6. Step 6: Final answer
    x = 8,431,255.58

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.