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Finding the Third Proportional to 1,968,248.11 and 2,952,370.27

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Solution

The third proportional to 1,968,248.11 and 2,952,370.27 is: 4,428,552.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,968,248.11 : 2,952,370.27 = 2,952,370.27 : x
  2. Step 2: Convert to fraction form
    1,968,248.11/2,952,370.27 = 2,952,370.27/x
  3. Step 3: Cross multiply
    1,968,248.11x = 2,952,370.27 × 2,952,370.27
  4. Step 4: Simplify right side
    1,968,248.11x = 8,716,490,185,346.63
  5. Step 5: Solve for x
    x = 8,716,490,185,346.63/1,968,248.11
  6. Step 6: Final answer
    x = 4,428,552.55

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.