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Finding the Third Proportional to 2,170,172 and 4,713,964

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Solution

The third proportional to 2,170,172 and 4,713,964 is: 10,239,490.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,170,172 : 4,713,964 = 4,713,964 : x
  2. Step 2: Convert to fraction form
    2,170,172/4,713,964 = 4,713,964/x
  3. Step 3: Cross multiply
    2,170,172x = 4,713,964 × 4,713,964
  4. Step 4: Simplify right side
    2,170,172x = 22,221,456,593,296
  5. Step 5: Solve for x
    x = 22,221,456,593,296/2,170,172
  6. Step 6: Final answer
    x = 10,239,490.97

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.