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Finding the Third Proportional to 1,942,564 and 4,121,828

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Solution

The third proportional to 1,942,564 and 4,121,828 is: 8,745,897.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,942,564 : 4,121,828 = 4,121,828 : x
  2. Step 2: Convert to fraction form
    1,942,564/4,121,828 = 4,121,828/x
  3. Step 3: Cross multiply
    1,942,564x = 4,121,828 × 4,121,828
  4. Step 4: Simplify right side
    1,942,564x = 16,989,466,061,584
  5. Step 5: Solve for x
    x = 16,989,466,061,584/1,942,564
  6. Step 6: Final answer
    x = 8,745,897.72

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.