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Finding the Third Proportional to 529,376 and 1,152,064

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Solution

The third proportional to 529,376 and 1,152,064 is: 2,507,199.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    529,376 : 1,152,064 = 1,152,064 : x
  2. Step 2: Convert to fraction form
    529,376/1,152,064 = 1,152,064/x
  3. Step 3: Cross multiply
    529,376x = 1,152,064 × 1,152,064
  4. Step 4: Simplify right side
    529,376x = 1,327,251,460,096
  5. Step 5: Solve for x
    x = 1,327,251,460,096/529,376
  6. Step 6: Final answer
    x = 2,507,199.91

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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.