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Finding the Third Proportional to 634,901 and 1,355,908

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Solution

The third proportional to 634,901 and 1,355,908 is: 2,895,705.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    634,901 : 1,355,908 = 1,355,908 : x
  2. Step 2: Convert to fraction form
    634,901/1,355,908 = 1,355,908/x
  3. Step 3: Cross multiply
    634,901x = 1,355,908 × 1,355,908
  4. Step 4: Simplify right side
    634,901x = 1,838,486,504,464
  5. Step 5: Solve for x
    x = 1,838,486,504,464/634,901
  6. Step 6: Final answer
    x = 2,895,705.79

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.