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Finding the Third Proportional to 849,760 and 1,849,376

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Solution

The third proportional to 849,760 and 1,849,376 is: 4,024,891.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    849,760 : 1,849,376 = 1,849,376 : x
  2. Step 2: Convert to fraction form
    849,760/1,849,376 = 1,849,376/x
  3. Step 3: Cross multiply
    849,760x = 1,849,376 × 1,849,376
  4. Step 4: Simplify right side
    849,760x = 3,420,191,589,376
  5. Step 5: Solve for x
    x = 3,420,191,589,376/849,760
  6. Step 6: Final answer
    x = 4,024,891.25

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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.