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Finding the Third Proportional to 1,480,147 and 2,167,731

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Solution

The third proportional to 1,480,147 and 2,167,731 is: 3,174,723.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,480,147 : 2,167,731 = 2,167,731 : x
  2. Step 2: Convert to fraction form
    1,480,147/2,167,731 = 2,167,731/x
  3. Step 3: Cross multiply
    1,480,147x = 2,167,731 × 2,167,731
  4. Step 4: Simplify right side
    1,480,147x = 4,699,057,688,361
  5. Step 5: Solve for x
    x = 4,699,057,688,361/1,480,147
  6. Step 6: Final answer
    x = 3,174,723.65

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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.