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Finding the Third Proportional to 713,115 and 1,566,197

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Solution

The third proportional to 713,115 and 1,566,197 is: 3,439,800.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    713,115 : 1,566,197 = 1,566,197 : x
  2. Step 2: Convert to fraction form
    713,115/1,566,197 = 1,566,197/x
  3. Step 3: Cross multiply
    713,115x = 1,566,197 × 1,566,197
  4. Step 4: Simplify right side
    713,115x = 2,452,973,042,809
  5. Step 5: Solve for x
    x = 2,452,973,042,809/713,115
  6. Step 6: Final answer
    x = 3,439,800.09

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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.