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Finding the Third Proportional to 522,924 and 1,108,633.50

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Solution

The third proportional to 522,924 and 1,108,633.50 is: 2,350,376.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    522,924 : 1,108,633.50 = 1,108,633.50 : x
  2. Step 2: Convert to fraction form
    522,924/1,108,633.50 = 1,108,633.50/x
  3. Step 3: Cross multiply
    522,924x = 1,108,633.50 × 1,108,633.50
  4. Step 4: Simplify right side
    522,924x = 1,229,068,237,322.25
  5. Step 5: Solve for x
    x = 1,229,068,237,322.25/522,924
  6. Step 6: Final answer
    x = 2,350,376.42

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