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Finding the Third Proportional to 2,047,522 and 4,409,000

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Solution

The third proportional to 2,047,522 and 4,409,000 is: 9,494,052.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,047,522 : 4,409,000 = 4,409,000 : x
  2. Step 2: Convert to fraction form
    2,047,522/4,409,000 = 4,409,000/x
  3. Step 3: Cross multiply
    2,047,522x = 4,409,000 × 4,409,000
  4. Step 4: Simplify right side
    2,047,522x = 19,439,281,000,000
  5. Step 5: Solve for x
    x = 19,439,281,000,000/2,047,522
  6. Step 6: Final answer
    x = 9,494,052.32

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.