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Finding the Third Proportional to 744,027,434 and 1,225,118,991

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Solution

The third proportional to 744,027,434 and 1,225,118,991 is: 2,017,286,558.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    744,027,434 : 1,225,118,991 = 1,225,118,991 : x
  2. Step 2: Convert to fraction form
    744,027,434/1,225,118,991 = 1,225,118,991/x
  3. Step 3: Cross multiply
    744,027,434x = 1,225,118,991 × 1,225,118,991
  4. Step 4: Simplify right side
    744,027,434x = 1,500,916,542,108,858,112
  5. Step 5: Solve for x
    x = 1,500,916,542,108,858,112/744,027,434
  6. Step 6: Final answer
    x = 2,017,286,558.96

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Why These Related Problems?

These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.