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Finding the Third Proportional to 652,183 and 857,617

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Solution

The third proportional to 652,183 and 857,617 is: 1,127,761.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    652,183 : 857,617 = 857,617 : x
  2. Step 2: Convert to fraction form
    652,183/857,617 = 857,617/x
  3. Step 3: Cross multiply
    652,183x = 857,617 × 857,617
  4. Step 4: Simplify right side
    652,183x = 735,506,918,689
  5. Step 5: Solve for x
    x = 735,506,918,689/652,183
  6. Step 6: Final answer
    x = 1,127,761.56

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.