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Finding the Third Proportional to 421,659 and 925,354.13

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Solution

The third proportional to 421,659 and 925,354.13 is: 2,030,741.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,659 : 925,354.13 = 925,354.13 : x
  2. Step 2: Convert to fraction form
    421,659/925,354.13 = 925,354.13/x
  3. Step 3: Cross multiply
    421,659x = 925,354.13 × 925,354.13
  4. Step 4: Simplify right side
    421,659x = 856,280,256,654.52
  5. Step 5: Solve for x
    x = 856,280,256,654.52/421,659
  6. Step 6: Final answer
    x = 2,030,741.09

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.