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Finding the Third Proportional to 574,742 and 1,248,967

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Solution

The third proportional to 574,742 and 1,248,967 is: 2,714,119.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    574,742 : 1,248,967 = 1,248,967 : x
  2. Step 2: Convert to fraction form
    574,742/1,248,967 = 1,248,967/x
  3. Step 3: Cross multiply
    574,742x = 1,248,967 × 1,248,967
  4. Step 4: Simplify right side
    574,742x = 1,559,918,567,089
  5. Step 5: Solve for x
    x = 1,559,918,567,089/574,742
  6. Step 6: Final answer
    x = 2,714,119.67

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.