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Finding the Third Proportional to 2,897,817 and 6,293,415

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Solution

The third proportional to 2,897,817 and 6,293,415 is: 13,667,899.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,897,817 : 6,293,415 = 6,293,415 : x
  2. Step 2: Convert to fraction form
    2,897,817/6,293,415 = 6,293,415/x
  3. Step 3: Cross multiply
    2,897,817x = 6,293,415 × 6,293,415
  4. Step 4: Simplify right side
    2,897,817x = 39,607,072,362,225
  5. Step 5: Solve for x
    x = 39,607,072,362,225/2,897,817
  6. Step 6: Final answer
    x = 13,667,899.79

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.