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Finding the Third Proportional to 1,286,519.12 and 1,886,809.33

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Solution

The third proportional to 1,286,519.12 and 1,886,809.33 is: 2,767,195.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,286,519.12 : 1,886,809.33 = 1,886,809.33 : x
  2. Step 2: Convert to fraction form
    1,286,519.12/1,886,809.33 = 1,886,809.33/x
  3. Step 3: Cross multiply
    1,286,519.12x = 1,886,809.33 × 1,886,809.33
  4. Step 4: Simplify right side
    1,286,519.12x = 3,560,049,459,125.34
  5. Step 5: Solve for x
    x = 3,560,049,459,125.34/1,286,519.12
  6. Step 6: Final answer
    x = 2,767,195.13

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.