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Finding the Third Proportional to 713,158 and 1,566,266

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Solution

The third proportional to 713,158 and 1,566,266 is: 3,439,895.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    713,158 : 1,566,266 = 1,566,266 : x
  2. Step 2: Convert to fraction form
    713,158/1,566,266 = 1,566,266/x
  3. Step 3: Cross multiply
    713,158x = 1,566,266 × 1,566,266
  4. Step 4: Simplify right side
    713,158x = 2,453,189,182,756
  5. Step 5: Solve for x
    x = 2,453,189,182,756/713,158
  6. Step 6: Final answer
    x = 3,439,895.76

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.