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Finding the Third Proportional to 1,441,478 and 2,027,618

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Solution

The third proportional to 1,441,478 and 2,027,618 is: 2,852,096.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,441,478 : 2,027,618 = 2,027,618 : x
  2. Step 2: Convert to fraction form
    1,441,478/2,027,618 = 2,027,618/x
  3. Step 3: Cross multiply
    1,441,478x = 2,027,618 × 2,027,618
  4. Step 4: Simplify right side
    1,441,478x = 4,111,234,753,924
  5. Step 5: Solve for x
    x = 4,111,234,753,924/1,441,478
  6. Step 6: Final answer
    x = 2,852,096.77

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.