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Finding the Third Proportional to 1,205,840.25 and 1,919,457

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Solution

The third proportional to 1,205,840.25 and 1,919,457 is: 3,055,392.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,205,840.25 : 1,919,457 = 1,919,457 : x
  2. Step 2: Convert to fraction form
    1,205,840.25/1,919,457 = 1,919,457/x
  3. Step 3: Cross multiply
    1,205,840.25x = 1,919,457 × 1,919,457
  4. Step 4: Simplify right side
    1,205,840.25x = 3,684,315,174,849
  5. Step 5: Solve for x
    x = 3,684,315,174,849/1,205,840.25
  6. Step 6: Final answer
    x = 3,055,392.43

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.