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Finding the Third Proportional to 732,945 and 1,591,224

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Solution

The third proportional to 732,945 and 1,591,224 is: 3,454,548.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    732,945 : 1,591,224 = 1,591,224 : x
  2. Step 2: Convert to fraction form
    732,945/1,591,224 = 1,591,224/x
  3. Step 3: Cross multiply
    732,945x = 1,591,224 × 1,591,224
  4. Step 4: Simplify right side
    732,945x = 2,531,993,818,176
  5. Step 5: Solve for x
    x = 2,531,993,818,176/732,945
  6. Step 6: Final answer
    x = 3,454,548.18

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.