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Finding the Third Proportional to 2,964,618 and 6,464,532

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Solution

The third proportional to 2,964,618 and 6,464,532 is: 14,096,309.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,964,618 : 6,464,532 = 6,464,532 : x
  2. Step 2: Convert to fraction form
    2,964,618/6,464,532 = 6,464,532/x
  3. Step 3: Cross multiply
    2,964,618x = 6,464,532 × 6,464,532
  4. Step 4: Simplify right side
    2,964,618x = 41,790,173,979,024
  5. Step 5: Solve for x
    x = 41,790,173,979,024/2,964,618
  6. Step 6: Final answer
    x = 14,096,309.87

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.