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Finding the Third Proportional to 2,091,420 and 4,566,618

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Solution

The third proportional to 2,091,420 and 4,566,618 is: 9,971,215.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,091,420 : 4,566,618 = 4,566,618 : x
  2. Step 2: Convert to fraction form
    2,091,420/4,566,618 = 4,566,618/x
  3. Step 3: Cross multiply
    2,091,420x = 4,566,618 × 4,566,618
  4. Step 4: Simplify right side
    2,091,420x = 20,853,999,957,924
  5. Step 5: Solve for x
    x = 20,853,999,957,924/2,091,420
  6. Step 6: Final answer
    x = 9,971,215.71

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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.