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Finding the Third Proportional to 433,701 and 939,802

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Solution

The third proportional to 433,701 and 939,802 is: 2,036,490.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    433,701 : 939,802 = 939,802 : x
  2. Step 2: Convert to fraction form
    433,701/939,802 = 939,802/x
  3. Step 3: Cross multiply
    433,701x = 939,802 × 939,802
  4. Step 4: Simplify right side
    433,701x = 883,227,799,204
  5. Step 5: Solve for x
    x = 883,227,799,204/433,701
  6. Step 6: Final answer
    x = 2,036,490.11

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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.