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Finding the Third Proportional to 2,046,618 and 4,342,596

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Solution

The third proportional to 2,046,618 and 4,342,596 is: 9,214,294.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,046,618 : 4,342,596 = 4,342,596 : x
  2. Step 2: Convert to fraction form
    2,046,618/4,342,596 = 4,342,596/x
  3. Step 3: Cross multiply
    2,046,618x = 4,342,596 × 4,342,596
  4. Step 4: Simplify right side
    2,046,618x = 18,858,140,019,216
  5. Step 5: Solve for x
    x = 18,858,140,019,216/2,046,618
  6. Step 6: Final answer
    x = 9,214,294.03

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.