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Finding the Third Proportional to 592,620 and 1,277,904

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Solution

The third proportional to 592,620 and 1,277,904 is: 2,755,625.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    592,620 : 1,277,904 = 1,277,904 : x
  2. Step 2: Convert to fraction form
    592,620/1,277,904 = 1,277,904/x
  3. Step 3: Cross multiply
    592,620x = 1,277,904 × 1,277,904
  4. Step 4: Simplify right side
    592,620x = 1,633,038,633,216
  5. Step 5: Solve for x
    x = 1,633,038,633,216/592,620
  6. Step 6: Final answer
    x = 2,755,625.25

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