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Finding the Third Proportional to 730,296 and 1,593,448

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Solution

The third proportional to 730,296 and 1,593,448 is: 3,476,777.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    730,296 : 1,593,448 = 1,593,448 : x
  2. Step 2: Convert to fraction form
    730,296/1,593,448 = 1,593,448/x
  3. Step 3: Cross multiply
    730,296x = 1,593,448 × 1,593,448
  4. Step 4: Simplify right side
    730,296x = 2,539,076,528,704
  5. Step 5: Solve for x
    x = 2,539,076,528,704/730,296
  6. Step 6: Final answer
    x = 3,476,777.26

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.