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Finding the Third Proportional to 1,032,216 and 2,105,904

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Solution

The third proportional to 1,032,216 and 2,105,904 is: 4,296,418.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,032,216 : 2,105,904 = 2,105,904 : x
  2. Step 2: Convert to fraction form
    1,032,216/2,105,904 = 2,105,904/x
  3. Step 3: Cross multiply
    1,032,216x = 2,105,904 × 2,105,904
  4. Step 4: Simplify right side
    1,032,216x = 4,434,831,657,216
  5. Step 5: Solve for x
    x = 4,434,831,657,216/1,032,216
  6. Step 6: Final answer
    x = 4,296,418.25

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.