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Finding the Third Proportional to 420,587.44 and 900,223.88

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Solution

The third proportional to 420,587.44 and 900,223.88 is: 1,926,836.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,587.44 : 900,223.88 = 900,223.88 : x
  2. Step 2: Convert to fraction form
    420,587.44/900,223.88 = 900,223.88/x
  3. Step 3: Cross multiply
    420,587.44x = 900,223.88 × 900,223.88
  4. Step 4: Simplify right side
    420,587.44x = 810,403,025,120.02
  5. Step 5: Solve for x
    x = 810,403,025,120.02/420,587.44
  6. Step 6: Final answer
    x = 1,926,836.02

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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.