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Finding the Third Proportional to 1,338,693.75 and 2,039,414.63

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Solution

The third proportional to 1,338,693.75 and 2,039,414.63 is: 3,106,918.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,338,693.75 : 2,039,414.63 = 2,039,414.63 : x
  2. Step 2: Convert to fraction form
    1,338,693.75/2,039,414.63 = 2,039,414.63/x
  3. Step 3: Cross multiply
    1,338,693.75x = 2,039,414.63 × 2,039,414.63
  4. Step 4: Simplify right side
    1,338,693.75x = 4,159,212,012,663.89
  5. Step 5: Solve for x
    x = 4,159,212,012,663.89/1,338,693.75
  6. Step 6: Final answer
    x = 3,106,918.23

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.