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Finding the Third Proportional to 458,703 and 1,036,330

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Solution

The third proportional to 458,703 and 1,036,330 is: 2,341,340.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,703 : 1,036,330 = 1,036,330 : x
  2. Step 2: Convert to fraction form
    458,703/1,036,330 = 1,036,330/x
  3. Step 3: Cross multiply
    458,703x = 1,036,330 × 1,036,330
  4. Step 4: Simplify right side
    458,703x = 1,073,979,868,900
  5. Step 5: Solve for x
    x = 1,073,979,868,900/458,703
  6. Step 6: Final answer
    x = 2,341,340.41

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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.