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Finding the Third Proportional to 722,054.78 and 1,564,513.52

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Solution

The third proportional to 722,054.78 and 1,564,513.52 is: 3,389,912.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    722,054.78 : 1,564,513.52 = 1,564,513.52 : x
  2. Step 2: Convert to fraction form
    722,054.78/1,564,513.52 = 1,564,513.52/x
  3. Step 3: Cross multiply
    722,054.78x = 1,564,513.52 × 1,564,513.52
  4. Step 4: Simplify right side
    722,054.78x = 2,447,702,565,018.82
  5. Step 5: Solve for x
    x = 2,447,702,565,018.82/722,054.78
  6. Step 6: Final answer
    x = 3,389,912.57

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.