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Finding the Third Proportional to 749,047 and 1,638,229

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Solution

The third proportional to 749,047 and 1,638,229 is: 3,582,945.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    749,047 : 1,638,229 = 1,638,229 : x
  2. Step 2: Convert to fraction form
    749,047/1,638,229 = 1,638,229/x
  3. Step 3: Cross multiply
    749,047x = 1,638,229 × 1,638,229
  4. Step 4: Simplify right side
    749,047x = 2,683,794,256,441
  5. Step 5: Solve for x
    x = 2,683,794,256,441/749,047
  6. Step 6: Final answer
    x = 3,582,945.07

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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.