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Finding the Third Proportional to 5,672,214 and 8,264,592

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Solution

The third proportional to 5,672,214 and 8,264,592 is: 12,041,767.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,672,214 : 8,264,592 = 8,264,592 : x
  2. Step 2: Convert to fraction form
    5,672,214/8,264,592 = 8,264,592/x
  3. Step 3: Cross multiply
    5,672,214x = 8,264,592 × 8,264,592
  4. Step 4: Simplify right side
    5,672,214x = 68,303,480,926,464
  5. Step 5: Solve for x
    x = 68,303,480,926,464/5,672,214
  6. Step 6: Final answer
    x = 12,041,767.28

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.