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Finding the Third Proportional to 1,009,968 and 2,177,376

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Solution

The third proportional to 1,009,968 and 2,177,376 is: 4,694,174.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,009,968 : 2,177,376 = 2,177,376 : x
  2. Step 2: Convert to fraction form
    1,009,968/2,177,376 = 2,177,376/x
  3. Step 3: Cross multiply
    1,009,968x = 2,177,376 × 2,177,376
  4. Step 4: Simplify right side
    1,009,968x = 4,740,966,245,376
  5. Step 5: Solve for x
    x = 4,740,966,245,376/1,009,968
  6. Step 6: Final answer
    x = 4,694,174.71

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.