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Finding the Third Proportional to 828,434,224 and 1,286,302,066

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Solution

The third proportional to 828,434,224 and 1,286,302,066 is: 1,997,229,178.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    828,434,224 : 1,286,302,066 = 1,286,302,066 : x
  2. Step 2: Convert to fraction form
    828,434,224/1,286,302,066 = 1,286,302,066/x
  3. Step 3: Cross multiply
    828,434,224x = 1,286,302,066 × 1,286,302,066
  4. Step 4: Simplify right side
    828,434,224x = 1,654,573,004,995,868,416
  5. Step 5: Solve for x
    x = 1,654,573,004,995,868,416/828,434,224
  6. Step 6: Final answer
    x = 1,997,229,178.93

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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.