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Finding the Third Proportional to 2,993,294 and 4,564,662.50

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Solution

The third proportional to 2,993,294 and 4,564,662.50 is: 6,960,941.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,993,294 : 4,564,662.50 = 4,564,662.50 : x
  2. Step 2: Convert to fraction form
    2,993,294/4,564,662.50 = 4,564,662.50/x
  3. Step 3: Cross multiply
    2,993,294x = 4,564,662.50 × 4,564,662.50
  4. Step 4: Simplify right side
    2,993,294x = 20,836,143,738,906.25
  5. Step 5: Solve for x
    x = 20,836,143,738,906.25/2,993,294
  6. Step 6: Final answer
    x = 6,960,941.27

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.