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Finding the Third Proportional to 828,434,228 and 1,286,302,072

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Solution

The third proportional to 828,434,228 and 1,286,302,072 is: 1,997,229,187.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    828,434,228 : 1,286,302,072 = 1,286,302,072 : x
  2. Step 2: Convert to fraction form
    828,434,228/1,286,302,072 = 1,286,302,072/x
  3. Step 3: Cross multiply
    828,434,228x = 1,286,302,072 × 1,286,302,072
  4. Step 4: Simplify right side
    828,434,228x = 1,654,573,020,431,493,120
  5. Step 5: Solve for x
    x = 1,654,573,020,431,493,120/828,434,228
  6. Step 6: Final answer
    x = 1,997,229,187.92

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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.