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Finding the Third Proportional to 576,796 and 1,242,342

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Solution

The third proportional to 576,796 and 1,242,342 is: 2,675,839.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    576,796 : 1,242,342 = 1,242,342 : x
  2. Step 2: Convert to fraction form
    576,796/1,242,342 = 1,242,342/x
  3. Step 3: Cross multiply
    576,796x = 1,242,342 × 1,242,342
  4. Step 4: Simplify right side
    576,796x = 1,543,413,644,964
  5. Step 5: Solve for x
    x = 1,543,413,644,964/576,796
  6. Step 6: Final answer
    x = 2,675,839.72

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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.