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Finding the Third Proportional to 411,600 and 834,648

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Solution

The third proportional to 411,600 and 834,648 is: 1,692,510.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,600 : 834,648 = 834,648 : x
  2. Step 2: Convert to fraction form
    411,600/834,648 = 834,648/x
  3. Step 3: Cross multiply
    411,600x = 834,648 × 834,648
  4. Step 4: Simplify right side
    411,600x = 696,637,283,904
  5. Step 5: Solve for x
    x = 696,637,283,904/411,600
  6. Step 6: Final answer
    x = 1,692,510.41

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.