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Finding the Third Proportional to 744,294 and 1,630,431

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Solution

The third proportional to 744,294 and 1,630,431 is: 3,571,579.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    744,294 : 1,630,431 = 1,630,431 : x
  2. Step 2: Convert to fraction form
    744,294/1,630,431 = 1,630,431/x
  3. Step 3: Cross multiply
    744,294x = 1,630,431 × 1,630,431
  4. Step 4: Simplify right side
    744,294x = 2,658,305,245,761
  5. Step 5: Solve for x
    x = 2,658,305,245,761/744,294
  6. Step 6: Final answer
    x = 3,571,579.57

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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.