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Finding the Third Proportional to 1,215,313.50 and 2,619,038

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Solution

The third proportional to 1,215,313.50 and 2,619,038 is: 5,644,107.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,215,313.50 : 2,619,038 = 2,619,038 : x
  2. Step 2: Convert to fraction form
    1,215,313.50/2,619,038 = 2,619,038/x
  3. Step 3: Cross multiply
    1,215,313.50x = 2,619,038 × 2,619,038
  4. Step 4: Simplify right side
    1,215,313.50x = 6,859,360,045,444
  5. Step 5: Solve for x
    x = 6,859,360,045,444/1,215,313.50
  6. Step 6: Final answer
    x = 5,644,107.50

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.