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Finding the Third Proportional to 709,964.25 and 1,528,185

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Solution

The third proportional to 709,964.25 and 1,528,185 is: 3,289,390.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    709,964.25 : 1,528,185 = 1,528,185 : x
  2. Step 2: Convert to fraction form
    709,964.25/1,528,185 = 1,528,185/x
  3. Step 3: Cross multiply
    709,964.25x = 1,528,185 × 1,528,185
  4. Step 4: Simplify right side
    709,964.25x = 2,335,349,394,225
  5. Step 5: Solve for x
    x = 2,335,349,394,225/709,964.25
  6. Step 6: Final answer
    x = 3,289,390.13

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.