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Finding the Third Proportional to 1,310,901.75 and 1,993,719.38

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Solution

The third proportional to 1,310,901.75 and 1,993,719.38 is: 3,032,200.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,310,901.75 : 1,993,719.38 = 1,993,719.38 : x
  2. Step 2: Convert to fraction form
    1,310,901.75/1,993,719.38 = 1,993,719.38/x
  3. Step 3: Cross multiply
    1,310,901.75x = 1,993,719.38 × 1,993,719.38
  4. Step 4: Simplify right side
    1,310,901.75x = 3,974,916,946,250.39
  5. Step 5: Solve for x
    x = 3,974,916,946,250.39/1,310,901.75
  6. Step 6: Final answer
    x = 3,032,200.50

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.