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Finding the Third Proportional to 918,081 and 1,377,121.50

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Solution

The third proportional to 918,081 and 1,377,121.50 is: 2,065,682.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    918,081 : 1,377,121.50 = 1,377,121.50 : x
  2. Step 2: Convert to fraction form
    918,081/1,377,121.50 = 1,377,121.50/x
  3. Step 3: Cross multiply
    918,081x = 1,377,121.50 × 1,377,121.50
  4. Step 4: Simplify right side
    918,081x = 1,896,463,625,762.25
  5. Step 5: Solve for x
    x = 1,896,463,625,762.25/918,081
  6. Step 6: Final answer
    x = 2,065,682.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.