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Finding the Third Proportional to 2,283,508 and 4,911,464

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Solution

The third proportional to 2,283,508 and 4,911,464 is: 10,563,781.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,283,508 : 4,911,464 = 4,911,464 : x
  2. Step 2: Convert to fraction form
    2,283,508/4,911,464 = 4,911,464/x
  3. Step 3: Cross multiply
    2,283,508x = 4,911,464 × 4,911,464
  4. Step 4: Simplify right side
    2,283,508x = 24,122,478,623,296
  5. Step 5: Solve for x
    x = 24,122,478,623,296/2,283,508
  6. Step 6: Final answer
    x = 10,563,781.09

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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.