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Finding the Third Proportional to 744,263.44 and 1,630,378.13

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Solution

The third proportional to 744,263.44 and 1,630,378.13 is: 3,571,494.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    744,263.44 : 1,630,378.13 = 1,630,378.13 : x
  2. Step 2: Convert to fraction form
    744,263.44/1,630,378.13 = 1,630,378.13/x
  3. Step 3: Cross multiply
    744,263.44x = 1,630,378.13 × 1,630,378.13
  4. Step 4: Simplify right side
    744,263.44x = 2,658,132,830,478.52
  5. Step 5: Solve for x
    x = 2,658,132,830,478.52/744,263.44
  6. Step 6: Final answer
    x = 3,571,494.58

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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.