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Finding the Third Proportional to 702,507 and 1,089,796.50

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Solution

The third proportional to 702,507 and 1,089,796.50 is: 1,690,597.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    702,507 : 1,089,796.50 = 1,089,796.50 : x
  2. Step 2: Convert to fraction form
    702,507/1,089,796.50 = 1,089,796.50/x
  3. Step 3: Cross multiply
    702,507x = 1,089,796.50 × 1,089,796.50
  4. Step 4: Simplify right side
    702,507x = 1,187,656,411,412.25
  5. Step 5: Solve for x
    x = 1,187,656,411,412.25/702,507
  6. Step 6: Final answer
    x = 1,690,597.26

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.