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Finding the Third Proportional to 838,117.13 and 1,865,936.25

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Solution

The third proportional to 838,117.13 and 1,865,936.25 is: 4,154,214.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    838,117.13 : 1,865,936.25 = 1,865,936.25 : x
  2. Step 2: Convert to fraction form
    838,117.13/1,865,936.25 = 1,865,936.25/x
  3. Step 3: Cross multiply
    838,117.13x = 1,865,936.25 × 1,865,936.25
  4. Step 4: Simplify right side
    838,117.13x = 3,481,718,089,064.06
  5. Step 5: Solve for x
    x = 3,481,718,089,064.06/838,117.13
  6. Step 6: Final answer
    x = 4,154,214.23

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.