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Finding the Third Proportional to 709,931.25 and 1,519,610.63

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Solution

The third proportional to 709,931.25 and 1,519,610.63 is: 3,252,732.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    709,931.25 : 1,519,610.63 = 1,519,610.63 : x
  2. Step 2: Convert to fraction form
    709,931.25/1,519,610.63 = 1,519,610.63/x
  3. Step 3: Cross multiply
    709,931.25x = 1,519,610.63 × 1,519,610.63
  4. Step 4: Simplify right side
    709,931.25x = 2,309,216,451,612.89
  5. Step 5: Solve for x
    x = 2,309,216,451,612.89/709,931.25
  6. Step 6: Final answer
    x = 3,252,732.50

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.