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Finding the Third Proportional to 901,674 and 1,349,685

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Solution

The third proportional to 901,674 and 1,349,685 is: 2,020,297.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    901,674 : 1,349,685 = 1,349,685 : x
  2. Step 2: Convert to fraction form
    901,674/1,349,685 = 1,349,685/x
  3. Step 3: Cross multiply
    901,674x = 1,349,685 × 1,349,685
  4. Step 4: Simplify right side
    901,674x = 1,821,649,599,225
  5. Step 5: Solve for x
    x = 1,821,649,599,225/901,674
  6. Step 6: Final answer
    x = 2,020,297.36

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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.