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Finding the Third Proportional to 507,656 and 1,115,714

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Solution

The third proportional to 507,656 and 1,115,714 is: 2,452,089.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,656 : 1,115,714 = 1,115,714 : x
  2. Step 2: Convert to fraction form
    507,656/1,115,714 = 1,115,714/x
  3. Step 3: Cross multiply
    507,656x = 1,115,714 × 1,115,714
  4. Step 4: Simplify right side
    507,656x = 1,244,817,729,796
  5. Step 5: Solve for x
    x = 1,244,817,729,796/507,656
  6. Step 6: Final answer
    x = 2,452,089.07

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.