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Finding the Third Proportional to 1,163,047 and 2,464,179

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Solution

The third proportional to 1,163,047 and 2,464,179 is: 5,220,922.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,163,047 : 2,464,179 = 2,464,179 : x
  2. Step 2: Convert to fraction form
    1,163,047/2,464,179 = 2,464,179/x
  3. Step 3: Cross multiply
    1,163,047x = 2,464,179 × 2,464,179
  4. Step 4: Simplify right side
    1,163,047x = 6,072,178,144,041
  5. Step 5: Solve for x
    x = 6,072,178,144,041/1,163,047
  6. Step 6: Final answer
    x = 5,220,922.41

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.