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Finding the Third Proportional to 595,646 and 1,274,396

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Solution

The third proportional to 595,646 and 1,274,396 is: 2,726,594.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    595,646 : 1,274,396 = 1,274,396 : x
  2. Step 2: Convert to fraction form
    595,646/1,274,396 = 1,274,396/x
  3. Step 3: Cross multiply
    595,646x = 1,274,396 × 1,274,396
  4. Step 4: Simplify right side
    595,646x = 1,624,085,164,816
  5. Step 5: Solve for x
    x = 1,624,085,164,816/595,646
  6. Step 6: Final answer
    x = 2,726,594.60

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.