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Finding the Third Proportional to 921,669.75 and 1,410,571.13

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Solution

The third proportional to 921,669.75 and 1,410,571.13 is: 2,158,811.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    921,669.75 : 1,410,571.13 = 1,410,571.13 : x
  2. Step 2: Convert to fraction form
    921,669.75/1,410,571.13 = 1,410,571.13/x
  3. Step 3: Cross multiply
    921,669.75x = 1,410,571.13 × 1,410,571.13
  4. Step 4: Simplify right side
    921,669.75x = 1,989,710,898,683.77
  5. Step 5: Solve for x
    x = 1,989,710,898,683.77/921,669.75
  6. Step 6: Final answer
    x = 2,158,811.11

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.