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Finding the Third Proportional to 709,958 and 1,544,304

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Solution

The third proportional to 709,958 and 1,544,304 is: 3,359,177.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    709,958 : 1,544,304 = 1,544,304 : x
  2. Step 2: Convert to fraction form
    709,958/1,544,304 = 1,544,304/x
  3. Step 3: Cross multiply
    709,958x = 1,544,304 × 1,544,304
  4. Step 4: Simplify right side
    709,958x = 2,384,874,844,416
  5. Step 5: Solve for x
    x = 2,384,874,844,416/709,958
  6. Step 6: Final answer
    x = 3,359,177.37

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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.