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Finding the Third Proportional to 652,560 and 918,960

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Solution

The third proportional to 652,560 and 918,960 is: 1,294,114.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    652,560 : 918,960 = 918,960 : x
  2. Step 2: Convert to fraction form
    652,560/918,960 = 918,960/x
  3. Step 3: Cross multiply
    652,560x = 918,960 × 918,960
  4. Step 4: Simplify right side
    652,560x = 844,487,481,600
  5. Step 5: Solve for x
    x = 844,487,481,600/652,560
  6. Step 6: Final answer
    x = 1,294,114.69

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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.