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Finding the Third Proportional to 2,066,262 and 4,825,069.50

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Solution

The third proportional to 2,066,262 and 4,825,069.50 is: 11,267,349.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,066,262 : 4,825,069.50 = 4,825,069.50 : x
  2. Step 2: Convert to fraction form
    2,066,262/4,825,069.50 = 4,825,069.50/x
  3. Step 3: Cross multiply
    2,066,262x = 4,825,069.50 × 4,825,069.50
  4. Step 4: Simplify right side
    2,066,262x = 23,281,295,679,830.25
  5. Step 5: Solve for x
    x = 23,281,295,679,830.25/2,066,262
  6. Step 6: Final answer
    x = 11,267,349.29

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.