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Finding the Third Proportional to 810,460 and 1,763,623

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Solution

The third proportional to 810,460 and 1,763,623 is: 3,837,778.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    810,460 : 1,763,623 = 1,763,623 : x
  2. Step 2: Convert to fraction form
    810,460/1,763,623 = 1,763,623/x
  3. Step 3: Cross multiply
    810,460x = 1,763,623 × 1,763,623
  4. Step 4: Simplify right side
    810,460x = 3,110,366,086,129
  5. Step 5: Solve for x
    x = 3,110,366,086,129/810,460
  6. Step 6: Final answer
    x = 3,837,778.65

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.