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Finding the Third Proportional to 1,008,878,535 and 1,420,104,204

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Solution

The third proportional to 1,008,878,535 and 1,420,104,204 is: 1,998,948,218.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,008,878,535 : 1,420,104,204 = 1,420,104,204 : x
  2. Step 2: Convert to fraction form
    1,008,878,535/1,420,104,204 = 1,420,104,204/x
  3. Step 3: Cross multiply
    1,008,878,535x = 1,420,104,204 × 1,420,104,204
  4. Step 4: Simplify right side
    1,008,878,535x = 2,016,695,950,218,473,728
  5. Step 5: Solve for x
    x = 2,016,695,950,218,473,728/1,008,878,535
  6. Step 6: Final answer
    x = 1,998,948,218.50

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.