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Finding the Third Proportional to 714,850 and 1,089,047

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Solution

The third proportional to 714,850 and 1,089,047 is: 1,659,122.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    714,850 : 1,089,047 = 1,089,047 : x
  2. Step 2: Convert to fraction form
    714,850/1,089,047 = 1,089,047/x
  3. Step 3: Cross multiply
    714,850x = 1,089,047 × 1,089,047
  4. Step 4: Simplify right side
    714,850x = 1,186,023,368,209
  5. Step 5: Solve for x
    x = 1,186,023,368,209/714,850
  6. Step 6: Final answer
    x = 1,659,122.01

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.