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Finding the Third Proportional to 818,154.42 and 1,780,514.16

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Solution

The third proportional to 818,154.42 and 1,780,514.16 is: 3,874,856.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    818,154.42 : 1,780,514.16 = 1,780,514.16 : x
  2. Step 2: Convert to fraction form
    818,154.42/1,780,514.16 = 1,780,514.16/x
  3. Step 3: Cross multiply
    818,154.42x = 1,780,514.16 × 1,780,514.16
  4. Step 4: Simplify right side
    818,154.42x = 3,170,230,660,606.65
  5. Step 5: Solve for x
    x = 3,170,230,660,606.65/818,154.42
  6. Step 6: Final answer
    x = 3,874,856.11

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.