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Finding the Third Proportional to 438,878 and 944,356

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Solution

The third proportional to 438,878 and 944,356 is: 2,032,018.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,878 : 944,356 = 944,356 : x
  2. Step 2: Convert to fraction form
    438,878/944,356 = 944,356/x
  3. Step 3: Cross multiply
    438,878x = 944,356 × 944,356
  4. Step 4: Simplify right side
    438,878x = 891,808,254,736
  5. Step 5: Solve for x
    x = 891,808,254,736/438,878
  6. Step 6: Final answer
    x = 2,032,018.59

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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.