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Finding the Third Proportional to 849,744 and 1,849,344

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Solution

The third proportional to 849,744 and 1,849,344 is: 4,024,827.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    849,744 : 1,849,344 = 1,849,344 : x
  2. Step 2: Convert to fraction form
    849,744/1,849,344 = 1,849,344/x
  3. Step 3: Cross multiply
    849,744x = 1,849,344 × 1,849,344
  4. Step 4: Simplify right side
    849,744x = 3,420,073,230,336
  5. Step 5: Solve for x
    x = 3,420,073,230,336/849,744
  6. Step 6: Final answer
    x = 4,024,827.75

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