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Finding the Third Proportional to 432,914 and 928,877

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Solution

The third proportional to 432,914 and 928,877 is: 1,993,034.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,914 : 928,877 = 928,877 : x
  2. Step 2: Convert to fraction form
    432,914/928,877 = 928,877/x
  3. Step 3: Cross multiply
    432,914x = 928,877 × 928,877
  4. Step 4: Simplify right side
    432,914x = 862,812,481,129
  5. Step 5: Solve for x
    x = 862,812,481,129/432,914
  6. Step 6: Final answer
    x = 1,993,034.37

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.