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Finding the Third Proportional to 749,072 and 1,650,841

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Solution

The third proportional to 749,072 and 1,650,841 is: 3,638,203.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    749,072 : 1,650,841 = 1,650,841 : x
  2. Step 2: Convert to fraction form
    749,072/1,650,841 = 1,650,841/x
  3. Step 3: Cross multiply
    749,072x = 1,650,841 × 1,650,841
  4. Step 4: Simplify right side
    749,072x = 2,725,276,007,281
  5. Step 5: Solve for x
    x = 2,725,276,007,281/749,072
  6. Step 6: Final answer
    x = 3,638,203.01

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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.