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Finding the Third Proportional to 835,423 and 1,715,112

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Solution

The third proportional to 835,423 and 1,715,112 is: 3,521,101.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    835,423 : 1,715,112 = 1,715,112 : x
  2. Step 2: Convert to fraction form
    835,423/1,715,112 = 1,715,112/x
  3. Step 3: Cross multiply
    835,423x = 1,715,112 × 1,715,112
  4. Step 4: Simplify right side
    835,423x = 2,941,609,172,544
  5. Step 5: Solve for x
    x = 2,941,609,172,544/835,423
  6. Step 6: Final answer
    x = 3,521,101.49

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.