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Finding the Third Proportional to 841,273.13 and 1,305,123.38

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Solution

The third proportional to 841,273.13 and 1,305,123.38 is: 2,024,725.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    841,273.13 : 1,305,123.38 = 1,305,123.38 : x
  2. Step 2: Convert to fraction form
    841,273.13/1,305,123.38 = 1,305,123.38/x
  3. Step 3: Cross multiply
    841,273.13x = 1,305,123.38 × 1,305,123.38
  4. Step 4: Simplify right side
    841,273.13x = 1,703,347,023,971.39
  5. Step 5: Solve for x
    x = 1,703,347,023,971.39/841,273.13
  6. Step 6: Final answer
    x = 2,024,725.35

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.