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Finding the Third Proportional to 713,133 and 1,566,234

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Solution

The third proportional to 713,133 and 1,566,234 is: 3,439,875.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    713,133 : 1,566,234 = 1,566,234 : x
  2. Step 2: Convert to fraction form
    713,133/1,566,234 = 1,566,234/x
  3. Step 3: Cross multiply
    713,133x = 1,566,234 × 1,566,234
  4. Step 4: Simplify right side
    713,133x = 2,453,088,942,756
  5. Step 5: Solve for x
    x = 2,453,088,942,756/713,133
  6. Step 6: Final answer
    x = 3,439,875.79

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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.