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Finding the Third Proportional to 701,868 and 1,537,272

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Solution

The third proportional to 701,868 and 1,537,272 is: 3,367,022.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    701,868 : 1,537,272 = 1,537,272 : x
  2. Step 2: Convert to fraction form
    701,868/1,537,272 = 1,537,272/x
  3. Step 3: Cross multiply
    701,868x = 1,537,272 × 1,537,272
  4. Step 4: Simplify right side
    701,868x = 2,363,205,201,984
  5. Step 5: Solve for x
    x = 2,363,205,201,984/701,868
  6. Step 6: Final answer
    x = 3,367,022.29

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.