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Finding the Third Proportional to 759,424 and 1,617,008

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Solution

The third proportional to 759,424 and 1,617,008 is: 3,443,023.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    759,424 : 1,617,008 = 1,617,008 : x
  2. Step 2: Convert to fraction form
    759,424/1,617,008 = 1,617,008/x
  3. Step 3: Cross multiply
    759,424x = 1,617,008 × 1,617,008
  4. Step 4: Simplify right side
    759,424x = 2,614,714,872,064
  5. Step 5: Solve for x
    x = 2,614,714,872,064/759,424
  6. Step 6: Final answer
    x = 3,443,023.75

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.