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Finding the Third Proportional to 680,062 and 1,482,224

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Solution

The third proportional to 680,062 and 1,482,224 is: 3,230,570.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    680,062 : 1,482,224 = 1,482,224 : x
  2. Step 2: Convert to fraction form
    680,062/1,482,224 = 1,482,224/x
  3. Step 3: Cross multiply
    680,062x = 1,482,224 × 1,482,224
  4. Step 4: Simplify right side
    680,062x = 2,196,987,986,176
  5. Step 5: Solve for x
    x = 2,196,987,986,176/680,062
  6. Step 6: Final answer
    x = 3,230,570.13

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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.