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Finding the Third Proportional to 1,032,601.50 and 2,188,273.50

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Solution

The third proportional to 1,032,601.50 and 2,188,273.50 is: 4,637,356.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,032,601.50 : 2,188,273.50 = 2,188,273.50 : x
  2. Step 2: Convert to fraction form
    1,032,601.50/2,188,273.50 = 2,188,273.50/x
  3. Step 3: Cross multiply
    1,032,601.50x = 2,188,273.50 × 2,188,273.50
  4. Step 4: Simplify right side
    1,032,601.50x = 4,788,540,910,802.25
  5. Step 5: Solve for x
    x = 4,788,540,910,802.25/1,032,601.50
  6. Step 6: Final answer
    x = 4,637,356.14

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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.