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Finding the Third Proportional to 1,476,844.50 and 2,212,807.50

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Solution

The third proportional to 1,476,844.50 and 2,212,807.50 is: 3,315,526.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,476,844.50 : 2,212,807.50 = 2,212,807.50 : x
  2. Step 2: Convert to fraction form
    1,476,844.50/2,212,807.50 = 2,212,807.50/x
  3. Step 3: Cross multiply
    1,476,844.50x = 2,212,807.50 × 2,212,807.50
  4. Step 4: Simplify right side
    1,476,844.50x = 4,896,517,032,056.25
  5. Step 5: Solve for x
    x = 4,896,517,032,056.25/1,476,844.50
  6. Step 6: Final answer
    x = 3,315,526.47

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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.