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Finding the Third Proportional to 2,111,172 and 4,521,264

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Solution

The third proportional to 2,111,172 and 4,521,264 is: 9,682,691.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,111,172 : 4,521,264 = 4,521,264 : x
  2. Step 2: Convert to fraction form
    2,111,172/4,521,264 = 4,521,264/x
  3. Step 3: Cross multiply
    2,111,172x = 4,521,264 × 4,521,264
  4. Step 4: Simplify right side
    2,111,172x = 20,441,828,157,696
  5. Step 5: Solve for x
    x = 20,441,828,157,696/2,111,172
  6. Step 6: Final answer
    x = 9,682,691.96

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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.