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Finding the Third Proportional to 433,698.47 and 939,796.59

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Solution

The third proportional to 433,698.47 and 939,796.59 is: 2,036,478.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    433,698.47 : 939,796.59 = 939,796.59 : x
  2. Step 2: Convert to fraction form
    433,698.47/939,796.59 = 939,796.59/x
  3. Step 3: Cross multiply
    433,698.47x = 939,796.59 × 939,796.59
  4. Step 4: Simplify right side
    433,698.47x = 883,217,637,624.10
  5. Step 5: Solve for x
    x = 883,217,637,624.10/433,698.47
  6. Step 6: Final answer
    x = 2,036,478.57

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