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Finding the Third Proportional to 713,130 and 1,566,204

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Solution

The third proportional to 713,130 and 1,566,204 is: 3,439,758.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    713,130 : 1,566,204 = 1,566,204 : x
  2. Step 2: Convert to fraction form
    713,130/1,566,204 = 1,566,204/x
  3. Step 3: Cross multiply
    713,130x = 1,566,204 × 1,566,204
  4. Step 4: Simplify right side
    713,130x = 2,452,994,969,616
  5. Step 5: Solve for x
    x = 2,452,994,969,616/713,130
  6. Step 6: Final answer
    x = 3,439,758.49

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