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Finding the Third Proportional to 529,570 and 1,152,324

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Solution

The third proportional to 529,570 and 1,152,324 is: 2,507,412.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    529,570 : 1,152,324 = 1,152,324 : x
  2. Step 2: Convert to fraction form
    529,570/1,152,324 = 1,152,324/x
  3. Step 3: Cross multiply
    529,570x = 1,152,324 × 1,152,324
  4. Step 4: Simplify right side
    529,570x = 1,327,850,600,976
  5. Step 5: Solve for x
    x = 1,327,850,600,976/529,570
  6. Step 6: Final answer
    x = 2,507,412.81

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.