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Finding the Third Proportional to 433,706 and 939,814

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Solution

The third proportional to 433,706 and 939,814 is: 2,036,518.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    433,706 : 939,814 = 939,814 : x
  2. Step 2: Convert to fraction form
    433,706/939,814 = 939,814/x
  3. Step 3: Cross multiply
    433,706x = 939,814 × 939,814
  4. Step 4: Simplify right side
    433,706x = 883,250,354,596
  5. Step 5: Solve for x
    x = 883,250,354,596/433,706
  6. Step 6: Final answer
    x = 2,036,518.64

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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.