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Finding the Third Proportional to 713,210 and 1,566,387

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Solution

The third proportional to 713,210 and 1,566,387 is: 3,440,176.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    713,210 : 1,566,387 = 1,566,387 : x
  2. Step 2: Convert to fraction form
    713,210/1,566,387 = 1,566,387/x
  3. Step 3: Cross multiply
    713,210x = 1,566,387 × 1,566,387
  4. Step 4: Simplify right side
    713,210x = 2,453,568,233,769
  5. Step 5: Solve for x
    x = 2,453,568,233,769/713,210
  6. Step 6: Final answer
    x = 3,440,176.43

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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.