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Finding the Third Proportional to 872,509 and 1,845,615

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Solution

The third proportional to 872,509 and 1,845,615 is: 3,904,022.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    872,509 : 1,845,615 = 1,845,615 : x
  2. Step 2: Convert to fraction form
    872,509/1,845,615 = 1,845,615/x
  3. Step 3: Cross multiply
    872,509x = 1,845,615 × 1,845,615
  4. Step 4: Simplify right side
    872,509x = 3,406,294,728,225
  5. Step 5: Solve for x
    x = 3,406,294,728,225/872,509
  6. Step 6: Final answer
    x = 3,904,022.46

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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.