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Finding the Third Proportional to 1,099,369.97 and 1,681,749.84

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Solution

The third proportional to 1,099,369.97 and 1,681,749.84 is: 2,572,639.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,099,369.97 : 1,681,749.84 = 1,681,749.84 : x
  2. Step 2: Convert to fraction form
    1,099,369.97/1,681,749.84 = 1,681,749.84/x
  3. Step 3: Cross multiply
    1,099,369.97x = 1,681,749.84 × 1,681,749.84
  4. Step 4: Simplify right side
    1,099,369.97x = 2,828,282,536,953.15
  5. Step 5: Solve for x
    x = 2,828,282,536,953.15/1,099,369.97
  6. Step 6: Final answer
    x = 2,572,639.44

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.