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Finding the Third Proportional to 411,720 and 893,208

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Solution

The third proportional to 411,720 and 893,208 is: 1,937,774.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,720 : 893,208 = 893,208 : x
  2. Step 2: Convert to fraction form
    411,720/893,208 = 893,208/x
  3. Step 3: Cross multiply
    411,720x = 893,208 × 893,208
  4. Step 4: Simplify right side
    411,720x = 797,820,531,264
  5. Step 5: Solve for x
    x = 797,820,531,264/411,720
  6. Step 6: Final answer
    x = 1,937,774.53

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.