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Finding the Third Proportional to 749,116 and 1,650,935

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Solution

The third proportional to 749,116 and 1,650,935 is: 3,638,403.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    749,116 : 1,650,935 = 1,650,935 : x
  2. Step 2: Convert to fraction form
    749,116/1,650,935 = 1,650,935/x
  3. Step 3: Cross multiply
    749,116x = 1,650,935 × 1,650,935
  4. Step 4: Simplify right side
    749,116x = 2,725,586,374,225
  5. Step 5: Solve for x
    x = 2,725,586,374,225/749,116
  6. Step 6: Final answer
    x = 3,638,403.63

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.