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Finding the Third Proportional to 1,952,444.25 and 4,240,718.30

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Solution

The third proportional to 1,952,444.25 and 4,240,718.30 is: 9,210,860.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,952,444.25 : 4,240,718.30 = 4,240,718.30 : x
  2. Step 2: Convert to fraction form
    1,952,444.25/4,240,718.30 = 4,240,718.30/x
  3. Step 3: Cross multiply
    1,952,444.25x = 4,240,718.30 × 4,240,718.30
  4. Step 4: Simplify right side
    1,952,444.25x = 17,983,691,673,450.40
  5. Step 5: Solve for x
    x = 17,983,691,673,450.40/1,952,444.25
  6. Step 6: Final answer
    x = 9,210,860.53

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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.