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Finding the Third Proportional to 652,410 and 918,744

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Solution

The third proportional to 652,410 and 918,744 is: 1,293,803.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    652,410 : 918,744 = 918,744 : x
  2. Step 2: Convert to fraction form
    652,410/918,744 = 918,744/x
  3. Step 3: Cross multiply
    652,410x = 918,744 × 918,744
  4. Step 4: Simplify right side
    652,410x = 844,090,537,536
  5. Step 5: Solve for x
    x = 844,090,537,536/652,410
  6. Step 6: Final answer
    x = 1,293,803.80

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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.