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Finding the Third Proportional to 622,416 and 988,056

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Solution

The third proportional to 622,416 and 988,056 is: 1,568,492.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    622,416 : 988,056 = 988,056 : x
  2. Step 2: Convert to fraction form
    622,416/988,056 = 988,056/x
  3. Step 3: Cross multiply
    622,416x = 988,056 × 988,056
  4. Step 4: Simplify right side
    622,416x = 976,254,659,136
  5. Step 5: Solve for x
    x = 976,254,659,136/622,416
  6. Step 6: Final answer
    x = 1,568,492.23

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.