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Finding the Third Proportional to 610,262.63 and 1,329,015.75

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Solution

The third proportional to 610,262.63 and 1,329,015.75 is: 2,894,299.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    610,262.63 : 1,329,015.75 = 1,329,015.75 : x
  2. Step 2: Convert to fraction form
    610,262.63/1,329,015.75 = 1,329,015.75/x
  3. Step 3: Cross multiply
    610,262.63x = 1,329,015.75 × 1,329,015.75
  4. Step 4: Simplify right side
    610,262.63x = 1,766,282,863,748.06
  5. Step 5: Solve for x
    x = 1,766,282,863,748.06/610,262.63
  6. Step 6: Final answer
    x = 2,894,299.59

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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.