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Finding the Third Proportional to 722,304 and 1,564,977

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Solution

The third proportional to 722,304 and 1,564,977 is: 3,390,751.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    722,304 : 1,564,977 = 1,564,977 : x
  2. Step 2: Convert to fraction form
    722,304/1,564,977 = 1,564,977/x
  3. Step 3: Cross multiply
    722,304x = 1,564,977 × 1,564,977
  4. Step 4: Simplify right side
    722,304x = 2,449,153,010,529
  5. Step 5: Solve for x
    x = 2,449,153,010,529/722,304
  6. Step 6: Final answer
    x = 3,390,751.00

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.