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Finding the Third Proportional to 689,442,928 and 1,474,437,344

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Solution

The third proportional to 689,442,928 and 1,474,437,344 is: 3,153,220,365.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    689,442,928 : 1,474,437,344 = 1,474,437,344 : x
  2. Step 2: Convert to fraction form
    689,442,928/1,474,437,344 = 1,474,437,344/x
  3. Step 3: Cross multiply
    689,442,928x = 1,474,437,344 × 1,474,437,344
  4. Step 4: Simplify right side
    689,442,928x = 2,173,965,481,381,774,336
  5. Step 5: Solve for x
    x = 2,173,965,481,381,774,336/689,442,928
  6. Step 6: Final answer
    x = 3,153,220,365.45

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.