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Finding the Third Proportional to 472,774 and 1,021,328

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Solution

The third proportional to 472,774 and 1,021,328 is: 2,206,362.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,774 : 1,021,328 = 1,021,328 : x
  2. Step 2: Convert to fraction form
    472,774/1,021,328 = 1,021,328/x
  3. Step 3: Cross multiply
    472,774x = 1,021,328 × 1,021,328
  4. Step 4: Simplify right side
    472,774x = 1,043,110,883,584
  5. Step 5: Solve for x
    x = 1,043,110,883,584/472,774
  6. Step 6: Final answer
    x = 2,206,362.62

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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.