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Finding the Third Proportional to 405,846,474 and 627,407,091

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Solution

The third proportional to 405,846,474 and 627,407,091 is: 969,922,576.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,846,474 : 627,407,091 = 627,407,091 : x
  2. Step 2: Convert to fraction form
    405,846,474/627,407,091 = 627,407,091/x
  3. Step 3: Cross multiply
    405,846,474x = 627,407,091 × 627,407,091
  4. Step 4: Simplify right side
    405,846,474x = 393,639,657,837,082,304
  5. Step 5: Solve for x
    x = 393,639,657,837,082,304/405,846,474
  6. Step 6: Final answer
    x = 969,922,576.77

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.