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Finding the Third Proportional to 3,217,731 and 4,728,101

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Solution

The third proportional to 3,217,731 and 4,728,101 is: 6,947,423.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,217,731 : 4,728,101 = 4,728,101 : x
  2. Step 2: Convert to fraction form
    3,217,731/4,728,101 = 4,728,101/x
  3. Step 3: Cross multiply
    3,217,731x = 4,728,101 × 4,728,101
  4. Step 4: Simplify right side
    3,217,731x = 22,354,939,066,201
  5. Step 5: Solve for x
    x = 22,354,939,066,201/3,217,731
  6. Step 6: Final answer
    x = 6,947,423.22

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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.