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Finding the Third Proportional to 1,497,268 and 2,303,732

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Solution

The third proportional to 1,497,268 and 2,303,732 is: 3,544,576.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,497,268 : 2,303,732 = 2,303,732 : x
  2. Step 2: Convert to fraction form
    1,497,268/2,303,732 = 2,303,732/x
  3. Step 3: Cross multiply
    1,497,268x = 2,303,732 × 2,303,732
  4. Step 4: Simplify right side
    1,497,268x = 5,307,181,127,824
  5. Step 5: Solve for x
    x = 5,307,181,127,824/1,497,268
  6. Step 6: Final answer
    x = 3,544,576.61

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.