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Finding the Third Proportional to 935,280 and 2,261,412

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Solution

The third proportional to 935,280 and 2,261,412 is: 5,467,864.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    935,280 : 2,261,412 = 2,261,412 : x
  2. Step 2: Convert to fraction form
    935,280/2,261,412 = 2,261,412/x
  3. Step 3: Cross multiply
    935,280x = 2,261,412 × 2,261,412
  4. Step 4: Simplify right side
    935,280x = 5,113,984,233,744
  5. Step 5: Solve for x
    x = 5,113,984,233,744/935,280
  6. Step 6: Final answer
    x = 5,467,864.42

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Why These Related Problems?

These problems maintain the same ratio (2.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.