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Finding the Third Proportional to 744,201 and 1,630,251

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Solution

The third proportional to 744,201 and 1,630,251 is: 3,571,237.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    744,201 : 1,630,251 = 1,630,251 : x
  2. Step 2: Convert to fraction form
    744,201/1,630,251 = 1,630,251/x
  3. Step 3: Cross multiply
    744,201x = 1,630,251 × 1,630,251
  4. Step 4: Simplify right side
    744,201x = 2,657,718,323,001
  5. Step 5: Solve for x
    x = 2,657,718,323,001/744,201
  6. Step 6: Final answer
    x = 3,571,237.24

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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.