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Finding the Third Proportional to 429,083 and 925,610

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Solution

The third proportional to 429,083 and 925,610 is: 1,996,708.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,083 : 925,610 = 925,610 : x
  2. Step 2: Convert to fraction form
    429,083/925,610 = 925,610/x
  3. Step 3: Cross multiply
    429,083x = 925,610 × 925,610
  4. Step 4: Simplify right side
    429,083x = 856,753,872,100
  5. Step 5: Solve for x
    x = 856,753,872,100/429,083
  6. Step 6: Final answer
    x = 1,996,708.96

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.