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Finding the Third Proportional to 701,354 and 1,514,618

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Solution

The third proportional to 701,354 and 1,514,618 is: 3,270,912.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    701,354 : 1,514,618 = 1,514,618 : x
  2. Step 2: Convert to fraction form
    701,354/1,514,618 = 1,514,618/x
  3. Step 3: Cross multiply
    701,354x = 1,514,618 × 1,514,618
  4. Step 4: Simplify right side
    701,354x = 2,294,067,685,924
  5. Step 5: Solve for x
    x = 2,294,067,685,924/701,354
  6. Step 6: Final answer
    x = 3,270,912.67

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.