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Finding the Third Proportional to 417,520 and 909,536

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Solution

The third proportional to 417,520 and 909,536 is: 1,981,355.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,520 : 909,536 = 909,536 : x
  2. Step 2: Convert to fraction form
    417,520/909,536 = 909,536/x
  3. Step 3: Cross multiply
    417,520x = 909,536 × 909,536
  4. Step 4: Simplify right side
    417,520x = 827,255,735,296
  5. Step 5: Solve for x
    x = 827,255,735,296/417,520
  6. Step 6: Final answer
    x = 1,981,355.95

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.