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Finding the Third Proportional to 2,243,349 and 4,892,724

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Solution

The third proportional to 2,243,349 and 4,892,724 is: 10,670,987.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,243,349 : 4,892,724 = 4,892,724 : x
  2. Step 2: Convert to fraction form
    2,243,349/4,892,724 = 4,892,724/x
  3. Step 3: Cross multiply
    2,243,349x = 4,892,724 × 4,892,724
  4. Step 4: Simplify right side
    2,243,349x = 23,938,748,140,176
  5. Step 5: Solve for x
    x = 23,938,748,140,176/2,243,349
  6. Step 6: Final answer
    x = 10,670,987.06

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.