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Finding the Third Proportional to 849,818 and 1,304,439

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Solution

The third proportional to 849,818 and 1,304,439 is: 2,002,265.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    849,818 : 1,304,439 = 1,304,439 : x
  2. Step 2: Convert to fraction form
    849,818/1,304,439 = 1,304,439/x
  3. Step 3: Cross multiply
    849,818x = 1,304,439 × 1,304,439
  4. Step 4: Simplify right side
    849,818x = 1,701,561,104,721
  5. Step 5: Solve for x
    x = 1,701,561,104,721/849,818
  6. Step 6: Final answer
    x = 2,002,265.31

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Why These Related Problems?

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