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Finding the Third Proportional to 524,944 and 1,084,882

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Solution

The third proportional to 524,944 and 1,084,882 is: 2,242,084.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,944 : 1,084,882 = 1,084,882 : x
  2. Step 2: Convert to fraction form
    524,944/1,084,882 = 1,084,882/x
  3. Step 3: Cross multiply
    524,944x = 1,084,882 × 1,084,882
  4. Step 4: Simplify right side
    524,944x = 1,176,968,953,924
  5. Step 5: Solve for x
    x = 1,176,968,953,924/524,944
  6. Step 6: Final answer
    x = 2,242,084.78

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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.