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Finding the Third Proportional to 652,540 and 918,938

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Solution

The third proportional to 652,540 and 918,938 is: 1,294,092.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    652,540 : 918,938 = 918,938 : x
  2. Step 2: Convert to fraction form
    652,540/918,938 = 918,938/x
  3. Step 3: Cross multiply
    652,540x = 918,938 × 918,938
  4. Step 4: Simplify right side
    652,540x = 844,447,047,844
  5. Step 5: Solve for x
    x = 844,447,047,844/652,540
  6. Step 6: Final answer
    x = 1,294,092.39

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.