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Finding the Third Proportional to 593,415 and 1,275,306

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Solution

The third proportional to 593,415 and 1,275,306 is: 2,740,755.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    593,415 : 1,275,306 = 1,275,306 : x
  2. Step 2: Convert to fraction form
    593,415/1,275,306 = 1,275,306/x
  3. Step 3: Cross multiply
    593,415x = 1,275,306 × 1,275,306
  4. Step 4: Simplify right side
    593,415x = 1,626,405,393,636
  5. Step 5: Solve for x
    x = 1,626,405,393,636/593,415
  6. Step 6: Final answer
    x = 2,740,755.45

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.