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Finding the Third Proportional to 1,429,049.25 and 2,222,305.88

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Solution

The third proportional to 1,429,049.25 and 2,222,305.88 is: 3,455,894.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,429,049.25 : 2,222,305.88 = 2,222,305.88 : x
  2. Step 2: Convert to fraction form
    1,429,049.25/2,222,305.88 = 2,222,305.88/x
  3. Step 3: Cross multiply
    1,429,049.25x = 2,222,305.88 × 2,222,305.88
  4. Step 4: Simplify right side
    1,429,049.25x = 4,938,643,402,059.52
  5. Step 5: Solve for x
    x = 4,938,643,402,059.52/1,429,049.25
  6. Step 6: Final answer
    x = 3,455,894.47

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.