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Finding the Third Proportional to 867,408 and 1,879,618

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Solution

The third proportional to 867,408 and 1,879,618 is: 4,073,012.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    867,408 : 1,879,618 = 1,879,618 : x
  2. Step 2: Convert to fraction form
    867,408/1,879,618 = 1,879,618/x
  3. Step 3: Cross multiply
    867,408x = 1,879,618 × 1,879,618
  4. Step 4: Simplify right side
    867,408x = 3,532,963,825,924
  5. Step 5: Solve for x
    x = 3,532,963,825,924/867,408
  6. Step 6: Final answer
    x = 4,073,012.73

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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.