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Finding the Third Proportional to 849,816 and 1,304,436

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Solution

The third proportional to 849,816 and 1,304,436 is: 2,002,260.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    849,816 : 1,304,436 = 1,304,436 : x
  2. Step 2: Convert to fraction form
    849,816/1,304,436 = 1,304,436/x
  3. Step 3: Cross multiply
    849,816x = 1,304,436 × 1,304,436
  4. Step 4: Simplify right side
    849,816x = 1,701,553,278,096
  5. Step 5: Solve for x
    x = 1,701,553,278,096/849,816
  6. Step 6: Final answer
    x = 2,002,260.82

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.