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Finding the Third Proportional to 524,484 and 1,149,056

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Solution

The third proportional to 524,484 and 1,149,056 is: 2,517,387.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,484 : 1,149,056 = 1,149,056 : x
  2. Step 2: Convert to fraction form
    524,484/1,149,056 = 1,149,056/x
  3. Step 3: Cross multiply
    524,484x = 1,149,056 × 1,149,056
  4. Step 4: Simplify right side
    524,484x = 1,320,329,691,136
  5. Step 5: Solve for x
    x = 1,320,329,691,136/524,484
  6. Step 6: Final answer
    x = 2,517,387.93

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.