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Finding the Third Proportional to 1,952,449.88 and 4,240,731.38

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Solution

The third proportional to 1,952,449.88 and 4,240,731.38 is: 9,210,890.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,952,449.88 : 4,240,731.38 = 4,240,731.38 : x
  2. Step 2: Convert to fraction form
    1,952,449.88/4,240,731.38 = 4,240,731.38/x
  3. Step 3: Cross multiply
    1,952,449.88x = 4,240,731.38 × 4,240,731.38
  4. Step 4: Simplify right side
    1,952,449.88x = 17,983,802,594,909.39
  5. Step 5: Solve for x
    x = 17,983,802,594,909.39/1,952,449.88
  6. Step 6: Final answer
    x = 9,210,890.80

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.