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Finding the Third Proportional to 435,912 and 934,032

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Solution

The third proportional to 435,912 and 934,032 is: 2,001,357.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    435,912 : 934,032 = 934,032 : x
  2. Step 2: Convert to fraction form
    435,912/934,032 = 934,032/x
  3. Step 3: Cross multiply
    435,912x = 934,032 × 934,032
  4. Step 4: Simplify right side
    435,912x = 872,415,777,024
  5. Step 5: Solve for x
    x = 872,415,777,024/435,912
  6. Step 6: Final answer
    x = 2,001,357.56

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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.