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Finding the Third Proportional to 828,434,214 and 1,286,302,050

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Solution

The third proportional to 828,434,214 and 1,286,302,050 is: 1,997,229,153.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    828,434,214 : 1,286,302,050 = 1,286,302,050 : x
  2. Step 2: Convert to fraction form
    828,434,214/1,286,302,050 = 1,286,302,050/x
  3. Step 3: Cross multiply
    828,434,214x = 1,286,302,050 × 1,286,302,050
  4. Step 4: Simplify right side
    828,434,214x = 1,654,572,963,834,202,624
  5. Step 5: Solve for x
    x = 1,654,572,963,834,202,624/828,434,214
  6. Step 6: Final answer
    x = 1,997,229,153.35

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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.