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Finding the Third Proportional to 401,638 and 865,484

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Solution

The third proportional to 401,638 and 865,484 is: 1,865,019.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,638 : 865,484 = 865,484 : x
  2. Step 2: Convert to fraction form
    401,638/865,484 = 865,484/x
  3. Step 3: Cross multiply
    401,638x = 865,484 × 865,484
  4. Step 4: Simplify right side
    401,638x = 749,062,554,256
  5. Step 5: Solve for x
    x = 749,062,554,256/401,638
  6. Step 6: Final answer
    x = 1,865,019.13

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.