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Finding the Third Proportional to 458,682 and 1,036,277

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Solution

The third proportional to 458,682 and 1,036,277 is: 2,341,208.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,682 : 1,036,277 = 1,036,277 : x
  2. Step 2: Convert to fraction form
    458,682/1,036,277 = 1,036,277/x
  3. Step 3: Cross multiply
    458,682x = 1,036,277 × 1,036,277
  4. Step 4: Simplify right side
    458,682x = 1,073,870,020,729
  5. Step 5: Solve for x
    x = 1,073,870,020,729/458,682
  6. Step 6: Final answer
    x = 2,341,208.12

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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.