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Finding the Third Proportional to 593,418 and 1,275,312

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Solution

The third proportional to 593,418 and 1,275,312 is: 2,740,767.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    593,418 : 1,275,312 = 1,275,312 : x
  2. Step 2: Convert to fraction form
    593,418/1,275,312 = 1,275,312/x
  3. Step 3: Cross multiply
    593,418x = 1,275,312 × 1,275,312
  4. Step 4: Simplify right side
    593,418x = 1,626,420,697,344
  5. Step 5: Solve for x
    x = 1,626,420,697,344/593,418
  6. Step 6: Final answer
    x = 2,740,767.38

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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.