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Finding the Third Proportional to 810,478 and 1,763,657

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Solution

The third proportional to 810,478 and 1,763,657 is: 3,837,841.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    810,478 : 1,763,657 = 1,763,657 : x
  2. Step 2: Convert to fraction form
    810,478/1,763,657 = 1,763,657/x
  3. Step 3: Cross multiply
    810,478x = 1,763,657 × 1,763,657
  4. Step 4: Simplify right side
    810,478x = 3,110,486,013,649
  5. Step 5: Solve for x
    x = 3,110,486,013,649/810,478
  6. Step 6: Final answer
    x = 3,837,841.39

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Why These Related Problems?

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