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Finding the Third Proportional to 2,894,868 and 6,174,468

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Solution

The third proportional to 2,894,868 and 6,174,468 is: 13,169,531.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,894,868 : 6,174,468 = 6,174,468 : x
  2. Step 2: Convert to fraction form
    2,894,868/6,174,468 = 6,174,468/x
  3. Step 3: Cross multiply
    2,894,868x = 6,174,468 × 6,174,468
  4. Step 4: Simplify right side
    2,894,868x = 38,124,055,083,024
  5. Step 5: Solve for x
    x = 38,124,055,083,024/2,894,868
  6. Step 6: Final answer
    x = 13,169,531.42

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.