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Finding the Third Proportional to 2,419,359 and 3,713,004

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Solution

The third proportional to 2,419,359 and 3,713,004 is: 5,698,368.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,419,359 : 3,713,004 = 3,713,004 : x
  2. Step 2: Convert to fraction form
    2,419,359/3,713,004 = 3,713,004/x
  3. Step 3: Cross multiply
    2,419,359x = 3,713,004 × 3,713,004
  4. Step 4: Simplify right side
    2,419,359x = 13,786,398,704,016
  5. Step 5: Solve for x
    x = 13,786,398,704,016/2,419,359
  6. Step 6: Final answer
    x = 5,698,368.33

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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.