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Finding the Third Proportional to 768,898 and 1,796,490

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Solution

The third proportional to 768,898 and 1,796,490 is: 4,197,405.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    768,898 : 1,796,490 = 1,796,490 : x
  2. Step 2: Convert to fraction form
    768,898/1,796,490 = 1,796,490/x
  3. Step 3: Cross multiply
    768,898x = 1,796,490 × 1,796,490
  4. Step 4: Simplify right side
    768,898x = 3,227,376,320,100
  5. Step 5: Solve for x
    x = 3,227,376,320,100/768,898
  6. Step 6: Final answer
    x = 4,197,405.01

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