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Finding the Third Proportional to 428,977 and 932,654

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Solution

The third proportional to 428,977 and 932,654 is: 2,027,715.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,977 : 932,654 = 932,654 : x
  2. Step 2: Convert to fraction form
    428,977/932,654 = 932,654/x
  3. Step 3: Cross multiply
    428,977x = 932,654 × 932,654
  4. Step 4: Simplify right side
    428,977x = 869,843,483,716
  5. Step 5: Solve for x
    x = 869,843,483,716/428,977
  6. Step 6: Final answer
    x = 2,027,715.90

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Why These Related Problems?

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