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Finding the Third Proportional to 582,554 and 882,852

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Solution

The third proportional to 582,554 and 882,852 is: 1,337,949.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    582,554 : 882,852 = 882,852 : x
  2. Step 2: Convert to fraction form
    582,554/882,852 = 882,852/x
  3. Step 3: Cross multiply
    582,554x = 882,852 × 882,852
  4. Step 4: Simplify right side
    582,554x = 779,427,653,904
  5. Step 5: Solve for x
    x = 779,427,653,904/582,554
  6. Step 6: Final answer
    x = 1,337,949.19

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.