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Finding the Third Proportional to 1,514,895.50 and 3,239,744

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Solution

The third proportional to 1,514,895.50 and 3,239,744 is: 6,928,491.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,514,895.50 : 3,239,744 = 3,239,744 : x
  2. Step 2: Convert to fraction form
    1,514,895.50/3,239,744 = 3,239,744/x
  3. Step 3: Cross multiply
    1,514,895.50x = 3,239,744 × 3,239,744
  4. Step 4: Simplify right side
    1,514,895.50x = 10,495,941,185,536
  5. Step 5: Solve for x
    x = 10,495,941,185,536/1,514,895.50
  6. Step 6: Final answer
    x = 6,928,491.89

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.