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Finding the Third Proportional to 1,299,499 and 1,999,994

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Solution

The third proportional to 1,299,499 and 1,999,994 is: 3,078,090.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,299,499 : 1,999,994 = 1,999,994 : x
  2. Step 2: Convert to fraction form
    1,299,499/1,999,994 = 1,999,994/x
  3. Step 3: Cross multiply
    1,299,499x = 1,999,994 × 1,999,994
  4. Step 4: Simplify right side
    1,299,499x = 3,999,976,000,036
  5. Step 5: Solve for x
    x = 3,999,976,000,036/1,299,499
  6. Step 6: Final answer
    x = 3,078,090.86

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