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Finding the Third Proportional to 2,243,164 and 4,892,341

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Solution

The third proportional to 2,243,164 and 4,892,341 is: 10,670,196.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,243,164 : 4,892,341 = 4,892,341 : x
  2. Step 2: Convert to fraction form
    2,243,164/4,892,341 = 4,892,341/x
  3. Step 3: Cross multiply
    2,243,164x = 4,892,341 × 4,892,341
  4. Step 4: Simplify right side
    2,243,164x = 23,935,000,460,281
  5. Step 5: Solve for x
    x = 23,935,000,460,281/2,243,164
  6. Step 6: Final answer
    x = 10,670,196.41

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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.