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Finding the Third Proportional to 1,258,803 and 2,748,177

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Solution

The third proportional to 1,258,803 and 2,748,177 is: 5,999,728.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,258,803 : 2,748,177 = 2,748,177 : x
  2. Step 2: Convert to fraction form
    1,258,803/2,748,177 = 2,748,177/x
  3. Step 3: Cross multiply
    1,258,803x = 2,748,177 × 2,748,177
  4. Step 4: Simplify right side
    1,258,803x = 7,552,476,823,329
  5. Step 5: Solve for x
    x = 7,552,476,823,329/1,258,803
  6. Step 6: Final answer
    x = 5,999,728.97

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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.