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Finding the Third Proportional to 435,668 and 943,712

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Solution

The third proportional to 435,668 and 943,712 is: 2,044,199.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    435,668 : 943,712 = 943,712 : x
  2. Step 2: Convert to fraction form
    435,668/943,712 = 943,712/x
  3. Step 3: Cross multiply
    435,668x = 943,712 × 943,712
  4. Step 4: Simplify right side
    435,668x = 890,592,338,944
  5. Step 5: Solve for x
    x = 890,592,338,944/435,668
  6. Step 6: Final answer
    x = 2,044,199.57

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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.