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Finding the Third Proportional to 592,930 and 1,296,578

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Solution

The third proportional to 592,930 and 1,296,578 is: 2,835,266.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    592,930 : 1,296,578 = 1,296,578 : x
  2. Step 2: Convert to fraction form
    592,930/1,296,578 = 1,296,578/x
  3. Step 3: Cross multiply
    592,930x = 1,296,578 × 1,296,578
  4. Step 4: Simplify right side
    592,930x = 1,681,114,510,084
  5. Step 5: Solve for x
    x = 1,681,114,510,084/592,930
  6. Step 6: Final answer
    x = 2,835,266.41

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.