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Finding the Third Proportional to 1,269,097.88 and 1,980,829.69

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Solution

The third proportional to 1,269,097.88 and 1,980,829.69 is: 3,091,712.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,269,097.88 : 1,980,829.69 = 1,980,829.69 : x
  2. Step 2: Convert to fraction form
    1,269,097.88/1,980,829.69 = 1,980,829.69/x
  3. Step 3: Cross multiply
    1,269,097.88x = 1,980,829.69 × 1,980,829.69
  4. Step 4: Simplify right side
    1,269,097.88x = 3,923,686,250,881.35
  5. Step 5: Solve for x
    x = 3,923,686,250,881.35/1,269,097.88
  6. Step 6: Final answer
    x = 3,091,712.88

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.