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Finding the Third Proportional to 1,912,938.75 and 4,041,813.38

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Solution

The third proportional to 1,912,938.75 and 4,041,813.38 is: 8,539,873.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,912,938.75 : 4,041,813.38 = 4,041,813.38 : x
  2. Step 2: Convert to fraction form
    1,912,938.75/4,041,813.38 = 4,041,813.38/x
  3. Step 3: Cross multiply
    1,912,938.75x = 4,041,813.38 × 4,041,813.38
  4. Step 4: Simplify right side
    1,912,938.75x = 16,336,255,358,328.89
  5. Step 5: Solve for x
    x = 16,336,255,358,328.89/1,912,938.75
  6. Step 6: Final answer
    x = 8,539,873.72

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.