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Finding the Third Proportional to 1,537,507.50 and 2,247,003

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Solution

The third proportional to 1,537,507.50 and 2,247,003 is: 3,283,901.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,537,507.50 : 2,247,003 = 2,247,003 : x
  2. Step 2: Convert to fraction form
    1,537,507.50/2,247,003 = 2,247,003/x
  3. Step 3: Cross multiply
    1,537,507.50x = 2,247,003 × 2,247,003
  4. Step 4: Simplify right side
    1,537,507.50x = 5,049,022,482,009
  5. Step 5: Solve for x
    x = 5,049,022,482,009/1,537,507.50
  6. Step 6: Final answer
    x = 3,283,901.04

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.