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Finding the Third Proportional to 713,113 and 1,566,193

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Solution

The third proportional to 713,113 and 1,566,193 is: 3,439,792.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    713,113 : 1,566,193 = 1,566,193 : x
  2. Step 2: Convert to fraction form
    713,113/1,566,193 = 1,566,193/x
  3. Step 3: Cross multiply
    713,113x = 1,566,193 × 1,566,193
  4. Step 4: Simplify right side
    713,113x = 2,452,960,513,249
  5. Step 5: Solve for x
    x = 2,452,960,513,249/713,113
  6. Step 6: Final answer
    x = 3,439,792.17

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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.