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Finding the Third Proportional to 2,514,705 and 5,145,618

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Solution

The third proportional to 2,514,705 and 5,145,618 is: 10,529,022.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,514,705 : 5,145,618 = 5,145,618 : x
  2. Step 2: Convert to fraction form
    2,514,705/5,145,618 = 5,145,618/x
  3. Step 3: Cross multiply
    2,514,705x = 5,145,618 × 5,145,618
  4. Step 4: Simplify right side
    2,514,705x = 26,477,384,601,924
  5. Step 5: Solve for x
    x = 26,477,384,601,924/2,514,705
  6. Step 6: Final answer
    x = 10,529,022.13

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.