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Finding the Third Proportional to 2,419,363 and 3,713,010

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Solution

The third proportional to 2,419,363 and 3,713,010 is: 5,698,377.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,419,363 : 3,713,010 = 3,713,010 : x
  2. Step 2: Convert to fraction form
    2,419,363/3,713,010 = 3,713,010/x
  3. Step 3: Cross multiply
    2,419,363x = 3,713,010 × 3,713,010
  4. Step 4: Simplify right side
    2,419,363x = 13,786,443,260,100
  5. Step 5: Solve for x
    x = 13,786,443,260,100/2,419,363
  6. Step 6: Final answer
    x = 5,698,377.32

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.