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Finding the Third Proportional to 689,464,899 and 1,097,605,283

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Solution

The third proportional to 689,464,899 and 1,097,605,283 is: 1,747,351,256.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    689,464,899 : 1,097,605,283 = 1,097,605,283 : x
  2. Step 2: Convert to fraction form
    689,464,899/1,097,605,283 = 1,097,605,283/x
  3. Step 3: Cross multiply
    689,464,899x = 1,097,605,283 × 1,097,605,283
  4. Step 4: Simplify right side
    689,464,899x = 1,204,737,357,269,510,144
  5. Step 5: Solve for x
    x = 1,204,737,357,269,510,144/689,464,899
  6. Step 6: Final answer
    x = 1,747,351,256.05

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