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Finding the Third Proportional to 543,850 and 1,178,095

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Solution

The third proportional to 543,850 and 1,178,095 is: 2,552,004.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    543,850 : 1,178,095 = 1,178,095 : x
  2. Step 2: Convert to fraction form
    543,850/1,178,095 = 1,178,095/x
  3. Step 3: Cross multiply
    543,850x = 1,178,095 × 1,178,095
  4. Step 4: Simplify right side
    543,850x = 1,387,907,829,025
  5. Step 5: Solve for x
    x = 1,387,907,829,025/543,850
  6. Step 6: Final answer
    x = 2,552,004.83

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.