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Finding the Third Proportional to 546,704 and 1,183,264

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Solution

The third proportional to 546,704 and 1,183,264 is: 2,561,008.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    546,704 : 1,183,264 = 1,183,264 : x
  2. Step 2: Convert to fraction form
    546,704/1,183,264 = 1,183,264/x
  3. Step 3: Cross multiply
    546,704x = 1,183,264 × 1,183,264
  4. Step 4: Simplify right side
    546,704x = 1,400,113,693,696
  5. Step 5: Solve for x
    x = 1,400,113,693,696/546,704
  6. Step 6: Final answer
    x = 2,561,008.69

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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.