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Finding the Third Proportional to 1,346,126.98 and 1,998,052.31

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Solution

The third proportional to 1,346,126.98 and 1,998,052.31 is: 2,965,703.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,346,126.98 : 1,998,052.31 = 1,998,052.31 : x
  2. Step 2: Convert to fraction form
    1,346,126.98/1,998,052.31 = 1,998,052.31/x
  3. Step 3: Cross multiply
    1,346,126.98x = 1,998,052.31 × 1,998,052.31
  4. Step 4: Simplify right side
    1,346,126.98x = 3,992,213,043,486.60
  5. Step 5: Solve for x
    x = 3,992,213,043,486.60/1,346,126.98
  6. Step 6: Final answer
    x = 2,965,703.17

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.