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Finding the Third Proportional to 1,349,714 and 2,069,673

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Solution

The third proportional to 1,349,714 and 2,069,673 is: 3,173,669.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,349,714 : 2,069,673 = 2,069,673 : x
  2. Step 2: Convert to fraction form
    1,349,714/2,069,673 = 2,069,673/x
  3. Step 3: Cross multiply
    1,349,714x = 2,069,673 × 2,069,673
  4. Step 4: Simplify right side
    1,349,714x = 4,283,546,326,929
  5. Step 5: Solve for x
    x = 4,283,546,326,929/1,349,714
  6. Step 6: Final answer
    x = 3,173,669.63

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.