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Finding the Third Proportional to 1,190,913.75 and 2,535,448.50

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Solution

The third proportional to 1,190,913.75 and 2,535,448.50 is: 5,397,955.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,190,913.75 : 2,535,448.50 = 2,535,448.50 : x
  2. Step 2: Convert to fraction form
    1,190,913.75/2,535,448.50 = 2,535,448.50/x
  3. Step 3: Cross multiply
    1,190,913.75x = 2,535,448.50 × 2,535,448.50
  4. Step 4: Simplify right side
    1,190,913.75x = 6,428,499,096,152.25
  5. Step 5: Solve for x
    x = 6,428,499,096,152.25/1,190,913.75
  6. Step 6: Final answer
    x = 5,397,955.22

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.