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Finding the Third Proportional to 576,916 and 1,262,412

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Solution

The third proportional to 576,916 and 1,262,412 is: 2,762,419.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    576,916 : 1,262,412 = 1,262,412 : x
  2. Step 2: Convert to fraction form
    576,916/1,262,412 = 1,262,412/x
  3. Step 3: Cross multiply
    576,916x = 1,262,412 × 1,262,412
  4. Step 4: Simplify right side
    576,916x = 1,593,684,057,744
  5. Step 5: Solve for x
    x = 1,593,684,057,744/576,916
  6. Step 6: Final answer
    x = 2,762,419.59

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.