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Finding the Third Proportional to 1,374,347.25 and 2,097,059.63

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Solution

The third proportional to 1,374,347.25 and 2,097,059.63 is: 3,199,816.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,374,347.25 : 2,097,059.63 = 2,097,059.63 : x
  2. Step 2: Convert to fraction form
    1,374,347.25/2,097,059.63 = 2,097,059.63/x
  3. Step 3: Cross multiply
    1,374,347.25x = 2,097,059.63 × 2,097,059.63
  4. Step 4: Simplify right side
    1,374,347.25x = 4,397,659,070,805.14
  5. Step 5: Solve for x
    x = 4,397,659,070,805.14/1,374,347.25
  6. Step 6: Final answer
    x = 3,199,816.55

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.