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Finding the Third Proportional to 382,806 and 894,118.50

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Solution

The third proportional to 382,806 and 894,118.50 is: 2,088,389.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,806 : 894,118.50 = 894,118.50 : x
  2. Step 2: Convert to fraction form
    382,806/894,118.50 = 894,118.50/x
  3. Step 3: Cross multiply
    382,806x = 894,118.50 × 894,118.50
  4. Step 4: Simplify right side
    382,806x = 799,447,892,042.25
  5. Step 5: Solve for x
    x = 799,447,892,042.25/382,806
  6. Step 6: Final answer
    x = 2,088,389.14

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These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.