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Finding the Third Proportional to 2,803,747 and 4,200,938.50

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Solution

The third proportional to 2,803,747 and 4,200,938.50 is: 6,294,392.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,803,747 : 4,200,938.50 = 4,200,938.50 : x
  2. Step 2: Convert to fraction form
    2,803,747/4,200,938.50 = 4,200,938.50/x
  3. Step 3: Cross multiply
    2,803,747x = 4,200,938.50 × 4,200,938.50
  4. Step 4: Simplify right side
    2,803,747x = 17,647,884,280,782.25
  5. Step 5: Solve for x
    x = 17,647,884,280,782.25/2,803,747
  6. Step 6: Final answer
    x = 6,294,392.57

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.