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Finding the Third Proportional to 418,540 and 894,536

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Solution

The third proportional to 418,540 and 894,536 is: 1,911,871.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,540 : 894,536 = 894,536 : x
  2. Step 2: Convert to fraction form
    418,540/894,536 = 894,536/x
  3. Step 3: Cross multiply
    418,540x = 894,536 × 894,536
  4. Step 4: Simplify right side
    418,540x = 800,194,655,296
  5. Step 5: Solve for x
    x = 800,194,655,296/418,540
  6. Step 6: Final answer
    x = 1,911,871.40

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.