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Finding the Third Proportional to 602,778 and 826,530

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Solution

The third proportional to 602,778 and 826,530 is: 1,133,339.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    602,778 : 826,530 = 826,530 : x
  2. Step 2: Convert to fraction form
    602,778/826,530 = 826,530/x
  3. Step 3: Cross multiply
    602,778x = 826,530 × 826,530
  4. Step 4: Simplify right side
    602,778x = 683,151,840,900
  5. Step 5: Solve for x
    x = 683,151,840,900/602,778
  6. Step 6: Final answer
    x = 1,133,339.04

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.