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Finding the Third Proportional to 2,242,337 and 4,783,646

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Solution

The third proportional to 2,242,337 and 4,783,646 is: 10,205,098.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,242,337 : 4,783,646 = 4,783,646 : x
  2. Step 2: Convert to fraction form
    2,242,337/4,783,646 = 4,783,646/x
  3. Step 3: Cross multiply
    2,242,337x = 4,783,646 × 4,783,646
  4. Step 4: Simplify right side
    2,242,337x = 22,883,269,053,316
  5. Step 5: Solve for x
    x = 22,883,269,053,316/2,242,337
  6. Step 6: Final answer
    x = 10,205,098.10

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.