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Finding the Third Proportional to 459,310 and 985,056

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Solution

The third proportional to 459,310 and 985,056 is: 2,112,593.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,310 : 985,056 = 985,056 : x
  2. Step 2: Convert to fraction form
    459,310/985,056 = 985,056/x
  3. Step 3: Cross multiply
    459,310x = 985,056 × 985,056
  4. Step 4: Simplify right side
    459,310x = 970,335,323,136
  5. Step 5: Solve for x
    x = 970,335,323,136/459,310
  6. Step 6: Final answer
    x = 2,112,593.51

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.