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Finding the Third Proportional to 743,833.13 and 1,104,814.69

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Solution

The third proportional to 743,833.13 and 1,104,814.69 is: 1,640,980.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    743,833.13 : 1,104,814.69 = 1,104,814.69 : x
  2. Step 2: Convert to fraction form
    743,833.13/1,104,814.69 = 1,104,814.69/x
  3. Step 3: Cross multiply
    743,833.13x = 1,104,814.69 × 1,104,814.69
  4. Step 4: Simplify right side
    743,833.13x = 1,220,615,493,715.72
  5. Step 5: Solve for x
    x = 1,220,615,493,715.72/743,833.13
  6. Step 6: Final answer
    x = 1,640,980.29

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.