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Finding the Third Proportional to 592,056 and 1,278,824

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Solution

The third proportional to 592,056 and 1,278,824 is: 2,762,223.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    592,056 : 1,278,824 = 1,278,824 : x
  2. Step 2: Convert to fraction form
    592,056/1,278,824 = 1,278,824/x
  3. Step 3: Cross multiply
    592,056x = 1,278,824 × 1,278,824
  4. Step 4: Simplify right side
    592,056x = 1,635,390,822,976
  5. Step 5: Solve for x
    x = 1,635,390,822,976/592,056
  6. Step 6: Final answer
    x = 2,762,223.21

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.