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Finding the Third Proportional to 1,097,808.75 and 2,378,880

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Solution

The third proportional to 1,097,808.75 and 2,378,880 is: 5,154,877.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,097,808.75 : 2,378,880 = 2,378,880 : x
  2. Step 2: Convert to fraction form
    1,097,808.75/2,378,880 = 2,378,880/x
  3. Step 3: Cross multiply
    1,097,808.75x = 2,378,880 × 2,378,880
  4. Step 4: Simplify right side
    1,097,808.75x = 5,659,070,054,400
  5. Step 5: Solve for x
    x = 5,659,070,054,400/1,097,808.75
  6. Step 6: Final answer
    x = 5,154,877.89

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.