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Finding the Third Proportional to 576,812 and 1,242,364

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Solution

The third proportional to 576,812 and 1,242,364 is: 2,675,860.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    576,812 : 1,242,364 = 1,242,364 : x
  2. Step 2: Convert to fraction form
    576,812/1,242,364 = 1,242,364/x
  3. Step 3: Cross multiply
    576,812x = 1,242,364 × 1,242,364
  4. Step 4: Simplify right side
    576,812x = 1,543,468,308,496
  5. Step 5: Solve for x
    x = 1,543,468,308,496/576,812
  6. Step 6: Final answer
    x = 2,675,860.26

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.