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Finding the Third Proportional to 816,894 and 1,775,475

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Solution

The third proportional to 816,894 and 1,775,475 is: 3,858,899.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    816,894 : 1,775,475 = 1,775,475 : x
  2. Step 2: Convert to fraction form
    816,894/1,775,475 = 1,775,475/x
  3. Step 3: Cross multiply
    816,894x = 1,775,475 × 1,775,475
  4. Step 4: Simplify right side
    816,894x = 3,152,311,475,625
  5. Step 5: Solve for x
    x = 3,152,311,475,625/816,894
  6. Step 6: Final answer
    x = 3,858,899.04

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.