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Finding the Third Proportional to 1,338,786 and 2,943,297

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Solution

The third proportional to 1,338,786 and 2,943,297 is: 6,470,785.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,338,786 : 2,943,297 = 2,943,297 : x
  2. Step 2: Convert to fraction form
    1,338,786/2,943,297 = 2,943,297/x
  3. Step 3: Cross multiply
    1,338,786x = 2,943,297 × 2,943,297
  4. Step 4: Simplify right side
    1,338,786x = 8,662,997,230,209
  5. Step 5: Solve for x
    x = 8,662,997,230,209/1,338,786
  6. Step 6: Final answer
    x = 6,470,785.64

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.