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Finding the Third Proportional to 766,657.41 and 1,190,430.42

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Solution

The third proportional to 766,657.41 and 1,190,430.42 is: 1,848,445.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    766,657.41 : 1,190,430.42 = 1,190,430.42 : x
  2. Step 2: Convert to fraction form
    766,657.41/1,190,430.42 = 1,190,430.42/x
  3. Step 3: Cross multiply
    766,657.41x = 1,190,430.42 × 1,190,430.42
  4. Step 4: Simplify right side
    766,657.41x = 1,417,124,589,325.49
  5. Step 5: Solve for x
    x = 1,417,124,589,325.49/766,657.41
  6. Step 6: Final answer
    x = 1,848,445.70

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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.