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Finding the Third Proportional to 2,243,074 and 4,934,724

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Solution

The third proportional to 2,243,074 and 4,934,724 is: 10,856,307.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,243,074 : 4,934,724 = 4,934,724 : x
  2. Step 2: Convert to fraction form
    2,243,074/4,934,724 = 4,934,724/x
  3. Step 3: Cross multiply
    2,243,074x = 4,934,724 × 4,934,724
  4. Step 4: Simplify right side
    2,243,074x = 24,351,500,956,176
  5. Step 5: Solve for x
    x = 24,351,500,956,176/2,243,074
  6. Step 6: Final answer
    x = 10,856,307.44

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.