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Finding the Third Proportional to 419,366,054 and 656,428,134

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Solution

The third proportional to 419,366,054 and 656,428,134 is: 1,027,498,270.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,366,054 : 656,428,134 = 656,428,134 : x
  2. Step 2: Convert to fraction form
    419,366,054/656,428,134 = 656,428,134/x
  3. Step 3: Cross multiply
    419,366,054x = 656,428,134 × 656,428,134
  4. Step 4: Simplify right side
    419,366,054x = 430,897,895,106,721,984
  5. Step 5: Solve for x
    x = 430,897,895,106,721,984/419,366,054
  6. Step 6: Final answer
    x = 1,027,498,270.30

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.