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Finding the Third Proportional to 1,823,904 and 2,665,494

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Solution

The third proportional to 1,823,904 and 2,665,494 is: 3,895,412.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,823,904 : 2,665,494 = 2,665,494 : x
  2. Step 2: Convert to fraction form
    1,823,904/2,665,494 = 2,665,494/x
  3. Step 3: Cross multiply
    1,823,904x = 2,665,494 × 2,665,494
  4. Step 4: Simplify right side
    1,823,904x = 7,104,858,264,036
  5. Step 5: Solve for x
    x = 7,104,858,264,036/1,823,904
  6. Step 6: Final answer
    x = 3,895,412.40

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.