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Finding the Third Proportional to 2,894,144 and 6,172,560

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Solution

The third proportional to 2,894,144 and 6,172,560 is: 13,164,685.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,894,144 : 6,172,560 = 6,172,560 : x
  2. Step 2: Convert to fraction form
    2,894,144/6,172,560 = 6,172,560/x
  3. Step 3: Cross multiply
    2,894,144x = 6,172,560 × 6,172,560
  4. Step 4: Simplify right side
    2,894,144x = 38,100,496,953,600
  5. Step 5: Solve for x
    x = 38,100,496,953,600/2,894,144
  6. Step 6: Final answer
    x = 13,164,685.98

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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.