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Finding the Third Proportional to 744,205 and 1,630,259

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Solution

The third proportional to 744,205 and 1,630,259 is: 3,571,253.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    744,205 : 1,630,259 = 1,630,259 : x
  2. Step 2: Convert to fraction form
    744,205/1,630,259 = 1,630,259/x
  3. Step 3: Cross multiply
    744,205x = 1,630,259 × 1,630,259
  4. Step 4: Simplify right side
    744,205x = 2,657,744,407,081
  5. Step 5: Solve for x
    x = 2,657,744,407,081/744,205
  6. Step 6: Final answer
    x = 3,571,253.09

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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.