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Finding the Third Proportional to 2,110,410 and 4,976,853

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Solution

The third proportional to 2,110,410 and 4,976,853 is: 11,736,613.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,110,410 : 4,976,853 = 4,976,853 : x
  2. Step 2: Convert to fraction form
    2,110,410/4,976,853 = 4,976,853/x
  3. Step 3: Cross multiply
    2,110,410x = 4,976,853 × 4,976,853
  4. Step 4: Simplify right side
    2,110,410x = 24,769,065,783,609
  5. Step 5: Solve for x
    x = 24,769,065,783,609/2,110,410
  6. Step 6: Final answer
    x = 11,736,613.16

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.