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Finding the Third Proportional to 493,470 and 1,025,714

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Solution

The third proportional to 493,470 and 1,025,714 is: 2,132,022.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,470 : 1,025,714 = 1,025,714 : x
  2. Step 2: Convert to fraction form
    493,470/1,025,714 = 1,025,714/x
  3. Step 3: Cross multiply
    493,470x = 1,025,714 × 1,025,714
  4. Step 4: Simplify right side
    493,470x = 1,052,089,209,796
  5. Step 5: Solve for x
    x = 1,052,089,209,796/493,470
  6. Step 6: Final answer
    x = 2,132,022.64

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.