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Finding the Third Proportional to 1,293,103 and 2,810,036

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Solution

The third proportional to 1,293,103 and 2,810,036 is: 6,106,475.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,293,103 : 2,810,036 = 2,810,036 : x
  2. Step 2: Convert to fraction form
    1,293,103/2,810,036 = 2,810,036/x
  3. Step 3: Cross multiply
    1,293,103x = 2,810,036 × 2,810,036
  4. Step 4: Simplify right side
    1,293,103x = 7,896,302,321,296
  5. Step 5: Solve for x
    x = 7,896,302,321,296/1,293,103
  6. Step 6: Final answer
    x = 6,106,475.91

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Why These Related Problems?

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