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Finding the Third Proportional to 713,109 and 1,566,168

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Solution

The third proportional to 713,109 and 1,566,168 is: 3,439,701.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    713,109 : 1,566,168 = 1,566,168 : x
  2. Step 2: Convert to fraction form
    713,109/1,566,168 = 1,566,168/x
  3. Step 3: Cross multiply
    713,109x = 1,566,168 × 1,566,168
  4. Step 4: Simplify right side
    713,109x = 2,452,882,204,224
  5. Step 5: Solve for x
    x = 2,452,882,204,224/713,109
  6. Step 6: Final answer
    x = 3,439,701.65

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.