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Finding the Third Proportional to 543,868 and 1,166,466

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Solution

The third proportional to 543,868 and 1,166,466 is: 2,501,788.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    543,868 : 1,166,466 = 1,166,466 : x
  2. Step 2: Convert to fraction form
    543,868/1,166,466 = 1,166,466/x
  3. Step 3: Cross multiply
    543,868x = 1,166,466 × 1,166,466
  4. Step 4: Simplify right side
    543,868x = 1,360,642,929,156
  5. Step 5: Solve for x
    x = 1,360,642,929,156/543,868
  6. Step 6: Final answer
    x = 2,501,788.91

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.