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Finding the Third Proportional to 1,261,024 and 2,767,040

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Solution

The third proportional to 1,261,024 and 2,767,040 is: 6,071,661.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,261,024 : 2,767,040 = 2,767,040 : x
  2. Step 2: Convert to fraction form
    1,261,024/2,767,040 = 2,767,040/x
  3. Step 3: Cross multiply
    1,261,024x = 2,767,040 × 2,767,040
  4. Step 4: Simplify right side
    1,261,024x = 7,656,510,361,600
  5. Step 5: Solve for x
    x = 7,656,510,361,600/1,261,024
  6. Step 6: Final answer
    x = 6,071,661.10

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.