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Finding the Third Proportional to 749,224 and 1,638,328

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Solution

The third proportional to 749,224 and 1,638,328 is: 3,582,531.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    749,224 : 1,638,328 = 1,638,328 : x
  2. Step 2: Convert to fraction form
    749,224/1,638,328 = 1,638,328/x
  3. Step 3: Cross multiply
    749,224x = 1,638,328 × 1,638,328
  4. Step 4: Simplify right side
    749,224x = 2,684,118,635,584
  5. Step 5: Solve for x
    x = 2,684,118,635,584/749,224
  6. Step 6: Final answer
    x = 3,582,531.57

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.