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Finding the Third Proportional to 1,652,832 and 2,552,148

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Solution

The third proportional to 1,652,832 and 2,552,148 is: 3,940,787.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,652,832 : 2,552,148 = 2,552,148 : x
  2. Step 2: Convert to fraction form
    1,652,832/2,552,148 = 2,552,148/x
  3. Step 3: Cross multiply
    1,652,832x = 2,552,148 × 2,552,148
  4. Step 4: Simplify right side
    1,652,832x = 6,513,459,413,904
  5. Step 5: Solve for x
    x = 6,513,459,413,904/1,652,832
  6. Step 6: Final answer
    x = 3,940,787.34

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.