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Finding the Third Proportional to 2,205,510 and 4,777,421

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Solution

The third proportional to 2,205,510 and 4,777,421 is: 10,348,514.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,205,510 : 4,777,421 = 4,777,421 : x
  2. Step 2: Convert to fraction form
    2,205,510/4,777,421 = 4,777,421/x
  3. Step 3: Cross multiply
    2,205,510x = 4,777,421 × 4,777,421
  4. Step 4: Simplify right side
    2,205,510x = 22,823,751,411,241
  5. Step 5: Solve for x
    x = 22,823,751,411,241/2,205,510
  6. Step 6: Final answer
    x = 10,348,514.14

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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.