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Finding the Third Proportional to 2,160,441 and 4,701,906

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Solution

The third proportional to 2,160,441 and 4,701,906 is: 10,233,058.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,160,441 : 4,701,906 = 4,701,906 : x
  2. Step 2: Convert to fraction form
    2,160,441/4,701,906 = 4,701,906/x
  3. Step 3: Cross multiply
    2,160,441x = 4,701,906 × 4,701,906
  4. Step 4: Simplify right side
    2,160,441x = 22,107,920,032,836
  5. Step 5: Solve for x
    x = 22,107,920,032,836/2,160,441
  6. Step 6: Final answer
    x = 10,233,058.91

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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.