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Finding the Third Proportional to 1,931,991.75 and 2,838,913.31

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Solution

The third proportional to 1,931,991.75 and 2,838,913.31 is: 4,171,564.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,931,991.75 : 2,838,913.31 = 2,838,913.31 : x
  2. Step 2: Convert to fraction form
    1,931,991.75/2,838,913.31 = 2,838,913.31/x
  3. Step 3: Cross multiply
    1,931,991.75x = 2,838,913.31 × 2,838,913.31
  4. Step 4: Simplify right side
    1,931,991.75x = 8,059,428,795,889.72
  5. Step 5: Solve for x
    x = 8,059,428,795,889.72/1,931,991.75
  6. Step 6: Final answer
    x = 4,171,564.81

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.