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Finding the Third Proportional to 692,224 and 1,012,056

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Solution

The third proportional to 692,224 and 1,012,056 is: 1,479,661.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    692,224 : 1,012,056 = 1,012,056 : x
  2. Step 2: Convert to fraction form
    692,224/1,012,056 = 1,012,056/x
  3. Step 3: Cross multiply
    692,224x = 1,012,056 × 1,012,056
  4. Step 4: Simplify right side
    692,224x = 1,024,257,347,136
  5. Step 5: Solve for x
    x = 1,024,257,347,136/692,224
  6. Step 6: Final answer
    x = 1,479,661.71

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.