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Finding the Third Proportional to 703,437.75 and 1,535,581.13

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Solution

The third proportional to 703,437.75 and 1,535,581.13 is: 3,352,122.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    703,437.75 : 1,535,581.13 = 1,535,581.13 : x
  2. Step 2: Convert to fraction form
    703,437.75/1,535,581.13 = 1,535,581.13/x
  3. Step 3: Cross multiply
    703,437.75x = 1,535,581.13 × 1,535,581.13
  4. Step 4: Simplify right side
    703,437.75x = 2,358,009,391,456.27
  5. Step 5: Solve for x
    x = 2,358,009,391,456.27/703,437.75
  6. Step 6: Final answer
    x = 3,352,122.33

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.