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Finding the Third Proportional to 1,036,682 and 1,547,027

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Solution

The third proportional to 1,036,682 and 1,547,027 is: 2,308,608.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,036,682 : 1,547,027 = 1,547,027 : x
  2. Step 2: Convert to fraction form
    1,036,682/1,547,027 = 1,547,027/x
  3. Step 3: Cross multiply
    1,036,682x = 1,547,027 × 1,547,027
  4. Step 4: Simplify right side
    1,036,682x = 2,393,292,538,729
  5. Step 5: Solve for x
    x = 2,393,292,538,729/1,036,682
  6. Step 6: Final answer
    x = 2,308,608.17

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.