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Finding the Third Proportional to 1,869,378.75 and 4,066,807.50

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Solution

The third proportional to 1,869,378.75 and 4,066,807.50 is: 8,847,283.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,869,378.75 : 4,066,807.50 = 4,066,807.50 : x
  2. Step 2: Convert to fraction form
    1,869,378.75/4,066,807.50 = 4,066,807.50/x
  3. Step 3: Cross multiply
    1,869,378.75x = 4,066,807.50 × 4,066,807.50
  4. Step 4: Simplify right side
    1,869,378.75x = 16,538,923,242,056.25
  5. Step 5: Solve for x
    x = 16,538,923,242,056.25/1,869,378.75
  6. Step 6: Final answer
    x = 8,847,283.22

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.