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Finding the Third Proportional to 591,238 and 913,056

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Solution

The third proportional to 591,238 and 913,056 is: 1,410,043.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    591,238 : 913,056 = 913,056 : x
  2. Step 2: Convert to fraction form
    591,238/913,056 = 913,056/x
  3. Step 3: Cross multiply
    591,238x = 913,056 × 913,056
  4. Step 4: Simplify right side
    591,238x = 833,671,259,136
  5. Step 5: Solve for x
    x = 833,671,259,136/591,238
  6. Step 6: Final answer
    x = 1,410,043.43

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.