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Finding the Third Proportional to 3,143,089 and 4,655,715

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Solution

The third proportional to 3,143,089 and 4,655,715 is: 6,896,299.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,143,089 : 4,655,715 = 4,655,715 : x
  2. Step 2: Convert to fraction form
    3,143,089/4,655,715 = 4,655,715/x
  3. Step 3: Cross multiply
    3,143,089x = 4,655,715 × 4,655,715
  4. Step 4: Simplify right side
    3,143,089x = 21,675,682,161,225
  5. Step 5: Solve for x
    x = 21,675,682,161,225/3,143,089
  6. Step 6: Final answer
    x = 6,896,299.20

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.