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Finding the Third Proportional to 2,152,820 and 3,468,747

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Solution

The third proportional to 2,152,820 and 3,468,747 is: 5,589,044.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,152,820 : 3,468,747 = 3,468,747 : x
  2. Step 2: Convert to fraction form
    2,152,820/3,468,747 = 3,468,747/x
  3. Step 3: Cross multiply
    2,152,820x = 3,468,747 × 3,468,747
  4. Step 4: Simplify right side
    2,152,820x = 12,032,205,750,009
  5. Step 5: Solve for x
    x = 12,032,205,750,009/2,152,820
  6. Step 6: Final answer
    x = 5,589,044.02

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These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.