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Finding the Third Proportional to 403,640 and 886,000

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Solution

The third proportional to 403,640 and 886,000 is: 1,944,792.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,640 : 886,000 = 886,000 : x
  2. Step 2: Convert to fraction form
    403,640/886,000 = 886,000/x
  3. Step 3: Cross multiply
    403,640x = 886,000 × 886,000
  4. Step 4: Simplify right side
    403,640x = 784,996,000,000
  5. Step 5: Solve for x
    x = 784,996,000,000/403,640
  6. Step 6: Final answer
    x = 1,944,792.39

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.