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Finding the Third Proportional to 4,769,478 and 7,089,417

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Solution

The third proportional to 4,769,478 and 7,089,417 is: 10,537,805.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,769,478 : 7,089,417 = 7,089,417 : x
  2. Step 2: Convert to fraction form
    4,769,478/7,089,417 = 7,089,417/x
  3. Step 3: Cross multiply
    4,769,478x = 7,089,417 × 7,089,417
  4. Step 4: Simplify right side
    4,769,478x = 50,259,833,399,889
  5. Step 5: Solve for x
    x = 50,259,833,399,889/4,769,478
  6. Step 6: Final answer
    x = 10,537,805.90

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.