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Finding the Third Proportional to 2,065,011 and 4,428,951

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Solution

The third proportional to 2,065,011 and 4,428,951 is: 9,499,032.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,065,011 : 4,428,951 = 4,428,951 : x
  2. Step 2: Convert to fraction form
    2,065,011/4,428,951 = 4,428,951/x
  3. Step 3: Cross multiply
    2,065,011x = 4,428,951 × 4,428,951
  4. Step 4: Simplify right side
    2,065,011x = 19,615,606,960,401
  5. Step 5: Solve for x
    x = 19,615,606,960,401/2,065,011
  6. Step 6: Final answer
    x = 9,499,032.67

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.