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Finding the Third Proportional to 1,242,145.13 and 1,869,436.97

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Solution

The third proportional to 1,242,145.13 and 1,869,436.97 is: 2,813,515.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,242,145.13 : 1,869,436.97 = 1,869,436.97 : x
  2. Step 2: Convert to fraction form
    1,242,145.13/1,869,436.97 = 1,869,436.97/x
  3. Step 3: Cross multiply
    1,242,145.13x = 1,869,436.97 × 1,869,436.97
  4. Step 4: Simplify right side
    1,242,145.13x = 3,494,794,580,129.19
  5. Step 5: Solve for x
    x = 3,494,794,580,129.19/1,242,145.13
  6. Step 6: Final answer
    x = 2,813,515.51

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.