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Finding the Third Proportional to 2,289,282 and 4,520,946

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Solution

The third proportional to 2,289,282 and 4,520,946 is: 8,928,106.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,289,282 : 4,520,946 = 4,520,946 : x
  2. Step 2: Convert to fraction form
    2,289,282/4,520,946 = 4,520,946/x
  3. Step 3: Cross multiply
    2,289,282x = 4,520,946 × 4,520,946
  4. Step 4: Simplify right side
    2,289,282x = 20,438,952,734,916
  5. Step 5: Solve for x
    x = 20,438,952,734,916/2,289,282
  6. Step 6: Final answer
    x = 8,928,106.16

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.