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Finding the Third Proportional to 458,689 and 1,036,295

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Solution

The third proportional to 458,689 and 1,036,295 is: 2,341,253.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,689 : 1,036,295 = 1,036,295 : x
  2. Step 2: Convert to fraction form
    458,689/1,036,295 = 1,036,295/x
  3. Step 3: Cross multiply
    458,689x = 1,036,295 × 1,036,295
  4. Step 4: Simplify right side
    458,689x = 1,073,907,327,025
  5. Step 5: Solve for x
    x = 1,073,907,327,025/458,689
  6. Step 6: Final answer
    x = 2,341,253.72

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Why These Related Problems?

These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.