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Finding the Third Proportional to 2,283,510 and 4,911,467

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Solution

The third proportional to 2,283,510 and 4,911,467 is: 10,563,784.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,283,510 : 4,911,467 = 4,911,467 : x
  2. Step 2: Convert to fraction form
    2,283,510/4,911,467 = 4,911,467/x
  3. Step 3: Cross multiply
    2,283,510x = 4,911,467 × 4,911,467
  4. Step 4: Simplify right side
    2,283,510x = 24,122,508,092,089
  5. Step 5: Solve for x
    x = 24,122,508,092,089/2,283,510
  6. Step 6: Final answer
    x = 10,563,784.74

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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.