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Finding the Third Proportional to 872,508 and 1,845,615

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Solution

The third proportional to 872,508 and 1,845,615 is: 3,904,026.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    872,508 : 1,845,615 = 1,845,615 : x
  2. Step 2: Convert to fraction form
    872,508/1,845,615 = 1,845,615/x
  3. Step 3: Cross multiply
    872,508x = 1,845,615 × 1,845,615
  4. Step 4: Simplify right side
    872,508x = 3,406,294,728,225
  5. Step 5: Solve for x
    x = 3,406,294,728,225/872,508
  6. Step 6: Final answer
    x = 3,904,026.93

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.