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Finding the Third Proportional to 1,160,169 and 2,491,714

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Solution

The third proportional to 1,160,169 and 2,491,714 is: 5,351,495.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,160,169 : 2,491,714 = 2,491,714 : x
  2. Step 2: Convert to fraction form
    1,160,169/2,491,714 = 2,491,714/x
  3. Step 3: Cross multiply
    1,160,169x = 2,491,714 × 2,491,714
  4. Step 4: Simplify right side
    1,160,169x = 6,208,638,657,796
  5. Step 5: Solve for x
    x = 6,208,638,657,796/1,160,169
  6. Step 6: Final answer
    x = 5,351,495.05

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.