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Finding the Third Proportional to 585,364 and 1,276,812

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Solution

The third proportional to 585,364 and 1,276,812 is: 2,785,017.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    585,364 : 1,276,812 = 1,276,812 : x
  2. Step 2: Convert to fraction form
    585,364/1,276,812 = 1,276,812/x
  3. Step 3: Cross multiply
    585,364x = 1,276,812 × 1,276,812
  4. Step 4: Simplify right side
    585,364x = 1,630,248,883,344
  5. Step 5: Solve for x
    x = 1,630,248,883,344/585,364
  6. Step 6: Final answer
    x = 2,785,017.33

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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.