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Finding the Third Proportional to 906,314 and 2,116,733

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Solution

The third proportional to 906,314 and 2,116,733 is: 4,943,715.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    906,314 : 2,116,733 = 2,116,733 : x
  2. Step 2: Convert to fraction form
    906,314/2,116,733 = 2,116,733/x
  3. Step 3: Cross multiply
    906,314x = 2,116,733 × 2,116,733
  4. Step 4: Simplify right side
    906,314x = 4,480,558,593,289
  5. Step 5: Solve for x
    x = 4,480,558,593,289/906,314
  6. Step 6: Final answer
    x = 4,943,715.53

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.