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Finding the Third Proportional to 546,756 and 1,183,368

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Solution

The third proportional to 546,756 and 1,183,368 is: 2,561,215.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    546,756 : 1,183,368 = 1,183,368 : x
  2. Step 2: Convert to fraction form
    546,756/1,183,368 = 1,183,368/x
  3. Step 3: Cross multiply
    546,756x = 1,183,368 × 1,183,368
  4. Step 4: Simplify right side
    546,756x = 1,400,359,823,424
  5. Step 5: Solve for x
    x = 1,400,359,823,424/546,756
  6. Step 6: Final answer
    x = 2,561,215.28

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.