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Finding the Third Proportional to 452,151 and 975,285

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Solution

The third proportional to 452,151 and 975,285 is: 2,103,679.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    452,151 : 975,285 = 975,285 : x
  2. Step 2: Convert to fraction form
    452,151/975,285 = 975,285/x
  3. Step 3: Cross multiply
    452,151x = 975,285 × 975,285
  4. Step 4: Simplify right side
    452,151x = 951,180,831,225
  5. Step 5: Solve for x
    x = 951,180,831,225/452,151
  6. Step 6: Final answer
    x = 2,103,679.59

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.