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Finding the Third Proportional to 2,170,605 and 4,726,929

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Solution

The third proportional to 2,170,605 and 4,726,929 is: 10,293,838.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,170,605 : 4,726,929 = 4,726,929 : x
  2. Step 2: Convert to fraction form
    2,170,605/4,726,929 = 4,726,929/x
  3. Step 3: Cross multiply
    2,170,605x = 4,726,929 × 4,726,929
  4. Step 4: Simplify right side
    2,170,605x = 22,343,857,771,041
  5. Step 5: Solve for x
    x = 22,343,857,771,041/2,170,605
  6. Step 6: Final answer
    x = 10,293,838.71

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.