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Finding the Third Proportional to 1,447,683.75 and 3,133,669.50

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Solution

The third proportional to 1,447,683.75 and 3,133,669.50 is: 6,783,169.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,447,683.75 : 3,133,669.50 = 3,133,669.50 : x
  2. Step 2: Convert to fraction form
    1,447,683.75/3,133,669.50 = 3,133,669.50/x
  3. Step 3: Cross multiply
    1,447,683.75x = 3,133,669.50 × 3,133,669.50
  4. Step 4: Simplify right side
    1,447,683.75x = 9,819,884,535,230.25
  5. Step 5: Solve for x
    x = 9,819,884,535,230.25/1,447,683.75
  6. Step 6: Final answer
    x = 6,783,169.69

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.