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Finding the Third Proportional to 1,295,378 and 1,961,139

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Solution

The third proportional to 1,295,378 and 1,961,139 is: 2,969,068.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,295,378 : 1,961,139 = 1,961,139 : x
  2. Step 2: Convert to fraction form
    1,295,378/1,961,139 = 1,961,139/x
  3. Step 3: Cross multiply
    1,295,378x = 1,961,139 × 1,961,139
  4. Step 4: Simplify right side
    1,295,378x = 3,846,066,177,321
  5. Step 5: Solve for x
    x = 3,846,066,177,321/1,295,378
  6. Step 6: Final answer
    x = 2,969,068.63

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.