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Finding the Third Proportional to 435,768 and 943,914

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Solution

The third proportional to 435,768 and 943,914 is: 2,044,605.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    435,768 : 943,914 = 943,914 : x
  2. Step 2: Convert to fraction form
    435,768/943,914 = 943,914/x
  3. Step 3: Cross multiply
    435,768x = 943,914 × 943,914
  4. Step 4: Simplify right side
    435,768x = 890,973,639,396
  5. Step 5: Solve for x
    x = 890,973,639,396/435,768
  6. Step 6: Final answer
    x = 2,044,605.48

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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.