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Finding the Third Proportional to 670,419,056 and 1,034,324,949

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Solution

The third proportional to 670,419,056 and 1,034,324,949 is: 1,595,760,279.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    670,419,056 : 1,034,324,949 = 1,034,324,949 : x
  2. Step 2: Convert to fraction form
    670,419,056/1,034,324,949 = 1,034,324,949/x
  3. Step 3: Cross multiply
    670,419,056x = 1,034,324,949 × 1,034,324,949
  4. Step 4: Simplify right side
    670,419,056x = 1,069,828,100,123,852,544
  5. Step 5: Solve for x
    x = 1,069,828,100,123,852,544/670,419,056
  6. Step 6: Final answer
    x = 1,595,760,279.41

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.