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Finding the Third Proportional to 820,902 and 1,763,184

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Solution

The third proportional to 820,902 and 1,763,184 is: 3,787,075.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    820,902 : 1,763,184 = 1,763,184 : x
  2. Step 2: Convert to fraction form
    820,902/1,763,184 = 1,763,184/x
  3. Step 3: Cross multiply
    820,902x = 1,763,184 × 1,763,184
  4. Step 4: Simplify right side
    820,902x = 3,108,817,817,856
  5. Step 5: Solve for x
    x = 3,108,817,817,856/820,902
  6. Step 6: Final answer
    x = 3,787,075.46

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.