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Finding the Third Proportional to 749,222 and 1,638,324

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Solution

The third proportional to 749,222 and 1,638,324 is: 3,582,523.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    749,222 : 1,638,324 = 1,638,324 : x
  2. Step 2: Convert to fraction form
    749,222/1,638,324 = 1,638,324/x
  3. Step 3: Cross multiply
    749,222x = 1,638,324 × 1,638,324
  4. Step 4: Simplify right side
    749,222x = 2,684,105,528,976
  5. Step 5: Solve for x
    x = 2,684,105,528,976/749,222
  6. Step 6: Final answer
    x = 3,582,523.64

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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.