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Finding the Third Proportional to 713,156 and 1,681,795

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Solution

The third proportional to 713,156 and 1,681,795 is: 3,966,080.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    713,156 : 1,681,795 = 1,681,795 : x
  2. Step 2: Convert to fraction form
    713,156/1,681,795 = 1,681,795/x
  3. Step 3: Cross multiply
    713,156x = 1,681,795 × 1,681,795
  4. Step 4: Simplify right side
    713,156x = 2,828,434,422,025
  5. Step 5: Solve for x
    x = 2,828,434,422,025/713,156
  6. Step 6: Final answer
    x = 3,966,080.94

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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.