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Finding the Third Proportional to 971,926 and 2,120,725

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Solution

The third proportional to 971,926 and 2,120,725 is: 4,627,383.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    971,926 : 2,120,725 = 2,120,725 : x
  2. Step 2: Convert to fraction form
    971,926/2,120,725 = 2,120,725/x
  3. Step 3: Cross multiply
    971,926x = 2,120,725 × 2,120,725
  4. Step 4: Simplify right side
    971,926x = 4,497,474,525,625
  5. Step 5: Solve for x
    x = 4,497,474,525,625/971,926
  6. Step 6: Final answer
    x = 4,627,383.70

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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.