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Finding the Third Proportional to 421,818 and 907,648

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Solution

The third proportional to 421,818 and 907,648 is: 1,953,033.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,818 : 907,648 = 907,648 : x
  2. Step 2: Convert to fraction form
    421,818/907,648 = 907,648/x
  3. Step 3: Cross multiply
    421,818x = 907,648 × 907,648
  4. Step 4: Simplify right side
    421,818x = 823,824,891,904
  5. Step 5: Solve for x
    x = 823,824,891,904/421,818
  6. Step 6: Final answer
    x = 1,953,033.99

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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.