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Finding the Third Proportional to 610,758 and 1,329,930

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Solution

The third proportional to 610,758 and 1,329,930 is: 2,895,932.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    610,758 : 1,329,930 = 1,329,930 : x
  2. Step 2: Convert to fraction form
    610,758/1,329,930 = 1,329,930/x
  3. Step 3: Cross multiply
    610,758x = 1,329,930 × 1,329,930
  4. Step 4: Simplify right side
    610,758x = 1,768,713,804,900
  5. Step 5: Solve for x
    x = 1,768,713,804,900/610,758
  6. Step 6: Final answer
    x = 2,895,932.28

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.