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Finding the Third Proportional to 2,292,328 and 4,982,664

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Solution

The third proportional to 2,292,328 and 4,982,664 is: 10,830,448.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,292,328 : 4,982,664 = 4,982,664 : x
  2. Step 2: Convert to fraction form
    2,292,328/4,982,664 = 4,982,664/x
  3. Step 3: Cross multiply
    2,292,328x = 4,982,664 × 4,982,664
  4. Step 4: Simplify right side
    2,292,328x = 24,826,940,536,896
  5. Step 5: Solve for x
    x = 24,826,940,536,896/2,292,328
  6. Step 6: Final answer
    x = 10,830,448.58

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.