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Finding the Third Proportional to 713,214 and 1,566,395

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Solution

The third proportional to 713,214 and 1,566,395 is: 3,440,192.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    713,214 : 1,566,395 = 1,566,395 : x
  2. Step 2: Convert to fraction form
    713,214/1,566,395 = 1,566,395/x
  3. Step 3: Cross multiply
    713,214x = 1,566,395 × 1,566,395
  4. Step 4: Simplify right side
    713,214x = 2,453,593,296,025
  5. Step 5: Solve for x
    x = 2,453,593,296,025/713,214
  6. Step 6: Final answer
    x = 3,440,192.28

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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.