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Finding the Third Proportional to 946,152 and 2,049,786

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Solution

The third proportional to 946,152 and 2,049,786 is: 4,440,748.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    946,152 : 2,049,786 = 2,049,786 : x
  2. Step 2: Convert to fraction form
    946,152/2,049,786 = 2,049,786/x
  3. Step 3: Cross multiply
    946,152x = 2,049,786 × 2,049,786
  4. Step 4: Simplify right side
    946,152x = 4,201,622,645,796
  5. Step 5: Solve for x
    x = 4,201,622,645,796/946,152
  6. Step 6: Final answer
    x = 4,440,748.05

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.