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Finding the Third Proportional to 2,217,066 and 4,765,638

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Solution

The third proportional to 2,217,066 and 4,765,638 is: 10,243,856.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,217,066 : 4,765,638 = 4,765,638 : x
  2. Step 2: Convert to fraction form
    2,217,066/4,765,638 = 4,765,638/x
  3. Step 3: Cross multiply
    2,217,066x = 4,765,638 × 4,765,638
  4. Step 4: Simplify right side
    2,217,066x = 22,711,305,547,044
  5. Step 5: Solve for x
    x = 22,711,305,547,044/2,217,066
  6. Step 6: Final answer
    x = 10,243,856.32

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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.