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Finding the Third Proportional to 2,243,347 and 4,892,711

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Solution

The third proportional to 2,243,347 and 4,892,711 is: 10,670,939.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,243,347 : 4,892,711 = 4,892,711 : x
  2. Step 2: Convert to fraction form
    2,243,347/4,892,711 = 4,892,711/x
  3. Step 3: Cross multiply
    2,243,347x = 4,892,711 × 4,892,711
  4. Step 4: Simplify right side
    2,243,347x = 23,938,620,929,521
  5. Step 5: Solve for x
    x = 23,938,620,929,521/2,243,347
  6. Step 6: Final answer
    x = 10,670,939.86

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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.