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Finding the Third Proportional to 2,578,346 and 5,464,045

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Solution

The third proportional to 2,578,346 and 5,464,045 is: 11,579,434.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,578,346 : 5,464,045 = 5,464,045 : x
  2. Step 2: Convert to fraction form
    2,578,346/5,464,045 = 5,464,045/x
  3. Step 3: Cross multiply
    2,578,346x = 5,464,045 × 5,464,045
  4. Step 4: Simplify right side
    2,578,346x = 29,855,787,762,025
  5. Step 5: Solve for x
    x = 29,855,787,762,025/2,578,346
  6. Step 6: Final answer
    x = 11,579,434.17

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.