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Finding the Third Proportional to 713,169.56 and 1,681,835.06

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Solution

The third proportional to 713,169.56 and 1,681,835.06 is: 3,966,194.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    713,169.56 : 1,681,835.06 = 1,681,835.06 : x
  2. Step 2: Convert to fraction form
    713,169.56/1,681,835.06 = 1,681,835.06/x
  3. Step 3: Cross multiply
    713,169.56x = 1,681,835.06 × 1,681,835.06
  4. Step 4: Simplify right side
    713,169.56x = 2,828,569,177,454.38
  5. Step 5: Solve for x
    x = 2,828,569,177,454.38/713,169.56
  6. Step 6: Final answer
    x = 3,966,194.47

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These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.