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Finding the Third Proportional to 602,858 and 820,994

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Solution

The third proportional to 602,858 and 820,994 is: 1,118,059.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    602,858 : 820,994 = 820,994 : x
  2. Step 2: Convert to fraction form
    602,858/820,994 = 820,994/x
  3. Step 3: Cross multiply
    602,858x = 820,994 × 820,994
  4. Step 4: Simplify right side
    602,858x = 674,031,148,036
  5. Step 5: Solve for x
    x = 674,031,148,036/602,858
  6. Step 6: Final answer
    x = 1,118,059.56

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.