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Finding the Third Proportional to 985,698 and 2,118,618

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Solution

The third proportional to 985,698 and 2,118,618 is: 4,553,668.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    985,698 : 2,118,618 = 2,118,618 : x
  2. Step 2: Convert to fraction form
    985,698/2,118,618 = 2,118,618/x
  3. Step 3: Cross multiply
    985,698x = 2,118,618 × 2,118,618
  4. Step 4: Simplify right side
    985,698x = 4,488,542,229,924
  5. Step 5: Solve for x
    x = 4,488,542,229,924/985,698
  6. Step 6: Final answer
    x = 4,553,668.80

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.