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Finding the Third Proportional to 415,952 and 894,952.25

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Solution

The third proportional to 415,952 and 894,952.25 is: 1,925,557.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,952 : 894,952.25 = 894,952.25 : x
  2. Step 2: Convert to fraction form
    415,952/894,952.25 = 894,952.25/x
  3. Step 3: Cross multiply
    415,952x = 894,952.25 × 894,952.25
  4. Step 4: Simplify right side
    415,952x = 800,939,529,780.06
  5. Step 5: Solve for x
    x = 800,939,529,780.06/415,952
  6. Step 6: Final answer
    x = 1,925,557.59

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.