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Finding the Third Proportional to 547,156 and 874,095

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Solution

The third proportional to 547,156 and 874,095 is: 1,396,387.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    547,156 : 874,095 = 874,095 : x
  2. Step 2: Convert to fraction form
    547,156/874,095 = 874,095/x
  3. Step 3: Cross multiply
    547,156x = 874,095 × 874,095
  4. Step 4: Simplify right side
    547,156x = 764,042,069,025
  5. Step 5: Solve for x
    x = 764,042,069,025/547,156
  6. Step 6: Final answer
    x = 1,396,387.99

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These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.