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Finding the Third Proportional to 3,089,536 and 6,461,560

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Solution

The third proportional to 3,089,536 and 6,461,560 is: 13,513,924.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,089,536 : 6,461,560 = 6,461,560 : x
  2. Step 2: Convert to fraction form
    3,089,536/6,461,560 = 6,461,560/x
  3. Step 3: Cross multiply
    3,089,536x = 6,461,560 × 6,461,560
  4. Step 4: Simplify right side
    3,089,536x = 41,751,757,633,600
  5. Step 5: Solve for x
    x = 41,751,757,633,600/3,089,536
  6. Step 6: Final answer
    x = 13,513,924.95

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.