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Finding the Third Proportional to 525,754 and 1,140,084

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Solution

The third proportional to 525,754 and 1,140,084 is: 2,472,242.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    525,754 : 1,140,084 = 1,140,084 : x
  2. Step 2: Convert to fraction form
    525,754/1,140,084 = 1,140,084/x
  3. Step 3: Cross multiply
    525,754x = 1,140,084 × 1,140,084
  4. Step 4: Simplify right side
    525,754x = 1,299,791,527,056
  5. Step 5: Solve for x
    x = 1,299,791,527,056/525,754
  6. Step 6: Final answer
    x = 2,472,242.77

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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.