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Finding the Third Proportional to 1,409,920.09 and 2,089,275.84

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Solution

The third proportional to 1,409,920.09 and 2,089,275.84 is: 3,095,972.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,409,920.09 : 2,089,275.84 = 2,089,275.84 : x
  2. Step 2: Convert to fraction form
    1,409,920.09/2,089,275.84 = 2,089,275.84/x
  3. Step 3: Cross multiply
    1,409,920.09x = 2,089,275.84 × 2,089,275.84
  4. Step 4: Simplify right side
    1,409,920.09x = 4,365,073,551,277.27
  5. Step 5: Solve for x
    x = 4,365,073,551,277.27/1,409,920.09
  6. Step 6: Final answer
    x = 3,095,972.30

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.