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Finding the Third Proportional to 524,948 and 1,084,889

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Solution

The third proportional to 524,948 and 1,084,889 is: 2,242,096.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,948 : 1,084,889 = 1,084,889 : x
  2. Step 2: Convert to fraction form
    524,948/1,084,889 = 1,084,889/x
  3. Step 3: Cross multiply
    524,948x = 1,084,889 × 1,084,889
  4. Step 4: Simplify right side
    524,948x = 1,176,984,142,321
  5. Step 5: Solve for x
    x = 1,176,984,142,321/524,948
  6. Step 6: Final answer
    x = 2,242,096.63

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.