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Finding the Third Proportional to 783,949.13 and 1,662,098.63

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Solution

The third proportional to 783,949.13 and 1,662,098.63 is: 3,523,917.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    783,949.13 : 1,662,098.63 = 1,662,098.63 : x
  2. Step 2: Convert to fraction form
    783,949.13/1,662,098.63 = 1,662,098.63/x
  3. Step 3: Cross multiply
    783,949.13x = 1,662,098.63 × 1,662,098.63
  4. Step 4: Simplify right side
    783,949.13x = 2,762,571,839,226.89
  5. Step 5: Solve for x
    x = 2,762,571,839,226.89/783,949.13
  6. Step 6: Final answer
    x = 3,523,917.24

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.