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Finding the Third Proportional to 768,814 and 1,796,281

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Solution

The third proportional to 768,814 and 1,796,281 is: 4,196,886.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    768,814 : 1,796,281 = 1,796,281 : x
  2. Step 2: Convert to fraction form
    768,814/1,796,281 = 1,796,281/x
  3. Step 3: Cross multiply
    768,814x = 1,796,281 × 1,796,281
  4. Step 4: Simplify right side
    768,814x = 3,226,625,430,961
  5. Step 5: Solve for x
    x = 3,226,625,430,961/768,814
  6. Step 6: Final answer
    x = 4,196,886.93

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.