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Finding the Third Proportional to 2,893,734 and 6,186,042

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Solution

The third proportional to 2,893,734 and 6,186,042 is: 13,224,130.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,893,734 : 6,186,042 = 6,186,042 : x
  2. Step 2: Convert to fraction form
    2,893,734/6,186,042 = 6,186,042/x
  3. Step 3: Cross multiply
    2,893,734x = 6,186,042 × 6,186,042
  4. Step 4: Simplify right side
    2,893,734x = 38,267,115,625,764
  5. Step 5: Solve for x
    x = 38,267,115,625,764/2,893,734
  6. Step 6: Final answer
    x = 13,224,130.35

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.