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Finding the Third Proportional to 713,678 and 1,569,306

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Solution

The third proportional to 713,678 and 1,569,306 is: 3,450,745.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    713,678 : 1,569,306 = 1,569,306 : x
  2. Step 2: Convert to fraction form
    713,678/1,569,306 = 1,569,306/x
  3. Step 3: Cross multiply
    713,678x = 1,569,306 × 1,569,306
  4. Step 4: Simplify right side
    713,678x = 2,462,721,321,636
  5. Step 5: Solve for x
    x = 2,462,721,321,636/713,678
  6. Step 6: Final answer
    x = 3,450,745.74

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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.