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Finding the Third Proportional to 1,653,921 and 3,377,826

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Solution

The third proportional to 1,653,921 and 3,377,826 is: 6,898,581.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,653,921 : 3,377,826 = 3,377,826 : x
  2. Step 2: Convert to fraction form
    1,653,921/3,377,826 = 3,377,826/x
  3. Step 3: Cross multiply
    1,653,921x = 3,377,826 × 3,377,826
  4. Step 4: Simplify right side
    1,653,921x = 11,409,708,486,276
  5. Step 5: Solve for x
    x = 11,409,708,486,276/1,653,921
  6. Step 6: Final answer
    x = 6,898,581.30

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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.