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Finding the Third Proportional to 2,805,798 and 6,049,419

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Solution

The third proportional to 2,805,798 and 6,049,419 is: 13,042,802.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,805,798 : 6,049,419 = 6,049,419 : x
  2. Step 2: Convert to fraction form
    2,805,798/6,049,419 = 6,049,419/x
  3. Step 3: Cross multiply
    2,805,798x = 6,049,419 × 6,049,419
  4. Step 4: Simplify right side
    2,805,798x = 36,595,470,237,561
  5. Step 5: Solve for x
    x = 36,595,470,237,561/2,805,798
  6. Step 6: Final answer
    x = 13,042,802.88

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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.