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Finding the Third Proportional to 901,586 and 1,349,571

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Solution

The third proportional to 901,586 and 1,349,571 is: 2,020,153.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    901,586 : 1,349,571 = 1,349,571 : x
  2. Step 2: Convert to fraction form
    901,586/1,349,571 = 1,349,571/x
  3. Step 3: Cross multiply
    901,586x = 1,349,571 × 1,349,571
  4. Step 4: Simplify right side
    901,586x = 1,821,341,884,041
  5. Step 5: Solve for x
    x = 1,821,341,884,041/901,586
  6. Step 6: Final answer
    x = 2,020,153.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.