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Finding the Third Proportional to 1,492,165.13 and 3,039,201.84

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Solution

The third proportional to 1,492,165.13 and 3,039,201.84 is: 6,190,164.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,492,165.13 : 3,039,201.84 = 3,039,201.84 : x
  2. Step 2: Convert to fraction form
    1,492,165.13/3,039,201.84 = 3,039,201.84/x
  3. Step 3: Cross multiply
    1,492,165.13x = 3,039,201.84 × 3,039,201.84
  4. Step 4: Simplify right side
    1,492,165.13x = 9,236,747,847,053.40
  5. Step 5: Solve for x
    x = 9,236,747,847,053.40/1,492,165.13
  6. Step 6: Final answer
    x = 6,190,164.68

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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.