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Finding the Third Proportional to 780,883 and 1,181,159

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Solution

The third proportional to 780,883 and 1,181,159 is: 1,786,614.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    780,883 : 1,181,159 = 1,181,159 : x
  2. Step 2: Convert to fraction form
    780,883/1,181,159 = 1,181,159/x
  3. Step 3: Cross multiply
    780,883x = 1,181,159 × 1,181,159
  4. Step 4: Simplify right side
    780,883x = 1,395,136,583,281
  5. Step 5: Solve for x
    x = 1,395,136,583,281/780,883
  6. Step 6: Final answer
    x = 1,786,614.11

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.