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Finding the Third Proportional to 828,434,222 and 1,286,302,062

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Solution

The third proportional to 828,434,222 and 1,286,302,062 is: 1,997,229,171.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    828,434,222 : 1,286,302,062 = 1,286,302,062 : x
  2. Step 2: Convert to fraction form
    828,434,222/1,286,302,062 = 1,286,302,062/x
  3. Step 3: Cross multiply
    828,434,222x = 1,286,302,062 × 1,286,302,062
  4. Step 4: Simplify right side
    828,434,222x = 1,654,572,994,705,451,776
  5. Step 5: Solve for x
    x = 1,654,572,994,705,451,776/828,434,222
  6. Step 6: Final answer
    x = 1,997,229,171.33

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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.