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Finding the Third Proportional to 773,312 and 1,089,008

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Solution

The third proportional to 773,312 and 1,089,008 is: 1,533,583.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    773,312 : 1,089,008 = 1,089,008 : x
  2. Step 2: Convert to fraction form
    773,312/1,089,008 = 1,089,008/x
  3. Step 3: Cross multiply
    773,312x = 1,089,008 × 1,089,008
  4. Step 4: Simplify right side
    773,312x = 1,185,938,424,064
  5. Step 5: Solve for x
    x = 1,185,938,424,064/773,312
  6. Step 6: Final answer
    x = 1,533,583.37

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.