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Finding the Third Proportional to 487,252.50 and 1,027,822.50

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Solution

The third proportional to 487,252.50 and 1,027,822.50 is: 2,168,114.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    487,252.50 : 1,027,822.50 = 1,027,822.50 : x
  2. Step 2: Convert to fraction form
    487,252.50/1,027,822.50 = 1,027,822.50/x
  3. Step 3: Cross multiply
    487,252.50x = 1,027,822.50 × 1,027,822.50
  4. Step 4: Simplify right side
    487,252.50x = 1,056,419,091,506.25
  5. Step 5: Solve for x
    x = 1,056,419,091,506.25/487,252.50
  6. Step 6: Final answer
    x = 2,168,114.26

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.