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Finding the Third Proportional to 2,205,513 and 4,777,430

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Solution

The third proportional to 2,205,513 and 4,777,430 is: 10,348,539.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,205,513 : 4,777,430 = 4,777,430 : x
  2. Step 2: Convert to fraction form
    2,205,513/4,777,430 = 4,777,430/x
  3. Step 3: Cross multiply
    2,205,513x = 4,777,430 × 4,777,430
  4. Step 4: Simplify right side
    2,205,513x = 22,823,837,404,900
  5. Step 5: Solve for x
    x = 22,823,837,404,900/2,205,513
  6. Step 6: Final answer
    x = 10,348,539.05

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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.