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Finding the Third Proportional to 2,765,328 and 5,722,464

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Solution

The third proportional to 2,765,328 and 5,722,464 is: 11,841,848.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,765,328 : 5,722,464 = 5,722,464 : x
  2. Step 2: Convert to fraction form
    2,765,328/5,722,464 = 5,722,464/x
  3. Step 3: Cross multiply
    2,765,328x = 5,722,464 × 5,722,464
  4. Step 4: Simplify right side
    2,765,328x = 32,746,594,231,296
  5. Step 5: Solve for x
    x = 32,746,594,231,296/2,765,328
  6. Step 6: Final answer
    x = 11,841,848.14

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.