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Finding the Third Proportional to 1,099,400 and 1,681,796

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Solution

The third proportional to 1,099,400 and 1,681,796 is: 2,572,710.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,099,400 : 1,681,796 = 1,681,796 : x
  2. Step 2: Convert to fraction form
    1,099,400/1,681,796 = 1,681,796/x
  3. Step 3: Cross multiply
    1,099,400x = 1,681,796 × 1,681,796
  4. Step 4: Simplify right side
    1,099,400x = 2,828,437,785,616
  5. Step 5: Solve for x
    x = 2,828,437,785,616/1,099,400
  6. Step 6: Final answer
    x = 2,572,710.37

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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.