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Finding the Third Proportional to 483,838 and 1,025,358

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Solution

The third proportional to 483,838 and 1,025,358 is: 2,172,956.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    483,838 : 1,025,358 = 1,025,358 : x
  2. Step 2: Convert to fraction form
    483,838/1,025,358 = 1,025,358/x
  3. Step 3: Cross multiply
    483,838x = 1,025,358 × 1,025,358
  4. Step 4: Simplify right side
    483,838x = 1,051,359,028,164
  5. Step 5: Solve for x
    x = 1,051,359,028,164/483,838
  6. Step 6: Final answer
    x = 2,172,956.71

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.