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Finding the Third Proportional to 713,686 and 1,569,320

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Solution

The third proportional to 713,686 and 1,569,320 is: 3,450,768.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    713,686 : 1,569,320 = 1,569,320 : x
  2. Step 2: Convert to fraction form
    713,686/1,569,320 = 1,569,320/x
  3. Step 3: Cross multiply
    713,686x = 1,569,320 × 1,569,320
  4. Step 4: Simplify right side
    713,686x = 2,462,765,262,400
  5. Step 5: Solve for x
    x = 2,462,765,262,400/713,686
  6. Step 6: Final answer
    x = 3,450,768.63

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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.