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Finding the Third Proportional to 415,166.48 and 894,006.42

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Solution

The third proportional to 415,166.48 and 894,006.42 is: 1,925,125.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,166.48 : 894,006.42 = 894,006.42 : x
  2. Step 2: Convert to fraction form
    415,166.48/894,006.42 = 894,006.42/x
  3. Step 3: Cross multiply
    415,166.48x = 894,006.42 × 894,006.42
  4. Step 4: Simplify right side
    415,166.48x = 799,247,482,353.74
  5. Step 5: Solve for x
    x = 799,247,482,353.74/415,166.48
  6. Step 6: Final answer
    x = 1,925,125.25

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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.