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Finding the Third Proportional to 1,266,319 and 1,810,714

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Solution

The third proportional to 1,266,319 and 1,810,714 is: 2,589,146.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,266,319 : 1,810,714 = 1,810,714 : x
  2. Step 2: Convert to fraction form
    1,266,319/1,810,714 = 1,810,714/x
  3. Step 3: Cross multiply
    1,266,319x = 1,810,714 × 1,810,714
  4. Step 4: Simplify right side
    1,266,319x = 3,278,685,189,796
  5. Step 5: Solve for x
    x = 3,278,685,189,796/1,266,319
  6. Step 6: Final answer
    x = 2,589,146.33

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.