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Finding the Third Proportional to 689,464,901 and 1,097,605,286

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Solution

The third proportional to 689,464,901 and 1,097,605,286 is: 1,747,351,260.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    689,464,901 : 1,097,605,286 = 1,097,605,286 : x
  2. Step 2: Convert to fraction form
    689,464,901/1,097,605,286 = 1,097,605,286/x
  3. Step 3: Cross multiply
    689,464,901x = 1,097,605,286 × 1,097,605,286
  4. Step 4: Simplify right side
    689,464,901x = 1,204,737,363,855,141,888
  5. Step 5: Solve for x
    x = 1,204,737,363,855,141,888/689,464,901
  6. Step 6: Final answer
    x = 1,747,351,260.53

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.