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Finding the Third Proportional to 642,272 and 1,000,172

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Solution

The third proportional to 642,272 and 1,000,172 is: 1,557,508.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    642,272 : 1,000,172 = 1,000,172 : x
  2. Step 2: Convert to fraction form
    642,272/1,000,172 = 1,000,172/x
  3. Step 3: Cross multiply
    642,272x = 1,000,172 × 1,000,172
  4. Step 4: Simplify right side
    642,272x = 1,000,344,029,584
  5. Step 5: Solve for x
    x = 1,000,344,029,584/642,272
  6. Step 6: Final answer
    x = 1,557,508.39

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.