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Finding the Third Proportional to 832,709 and 1,783,425

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Solution

The third proportional to 832,709 and 1,783,425 is: 3,819,587.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    832,709 : 1,783,425 = 1,783,425 : x
  2. Step 2: Convert to fraction form
    832,709/1,783,425 = 1,783,425/x
  3. Step 3: Cross multiply
    832,709x = 1,783,425 × 1,783,425
  4. Step 4: Simplify right side
    832,709x = 3,180,604,730,625
  5. Step 5: Solve for x
    x = 3,180,604,730,625/832,709
  6. Step 6: Final answer
    x = 3,819,587.31

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.