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Finding the Third Proportional to 901,657.50 and 1,349,660.25

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Solution

The third proportional to 901,657.50 and 1,349,660.25 is: 2,020,260.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    901,657.50 : 1,349,660.25 = 1,349,660.25 : x
  2. Step 2: Convert to fraction form
    901,657.50/1,349,660.25 = 1,349,660.25/x
  3. Step 3: Cross multiply
    901,657.50x = 1,349,660.25 × 1,349,660.25
  4. Step 4: Simplify right side
    901,657.50x = 1,821,582,790,430.06
  5. Step 5: Solve for x
    x = 1,821,582,790,430.06/901,657.50
  6. Step 6: Final answer
    x = 2,020,260.23

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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.