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Finding the Third Proportional to 901,062 and 1,259,739

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Solution

The third proportional to 901,062 and 1,259,739 is: 1,761,191.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    901,062 : 1,259,739 = 1,259,739 : x
  2. Step 2: Convert to fraction form
    901,062/1,259,739 = 1,259,739/x
  3. Step 3: Cross multiply
    901,062x = 1,259,739 × 1,259,739
  4. Step 4: Simplify right side
    901,062x = 1,586,942,348,121
  5. Step 5: Solve for x
    x = 1,586,942,348,121/901,062
  6. Step 6: Final answer
    x = 1,761,191.07

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.