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Finding the Third Proportional to 438,476 and 944,628

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Solution

The third proportional to 438,476 and 944,628 is: 2,035,053.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,476 : 944,628 = 944,628 : x
  2. Step 2: Convert to fraction form
    438,476/944,628 = 944,628/x
  3. Step 3: Cross multiply
    438,476x = 944,628 × 944,628
  4. Step 4: Simplify right side
    438,476x = 892,322,058,384
  5. Step 5: Solve for x
    x = 892,322,058,384/438,476
  6. Step 6: Final answer
    x = 2,035,053.36

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.