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Finding the Third Proportional to 1,413,078 and 3,094,878

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Solution

The third proportional to 1,413,078 and 3,094,878 is: 6,778,302.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,413,078 : 3,094,878 = 3,094,878 : x
  2. Step 2: Convert to fraction form
    1,413,078/3,094,878 = 3,094,878/x
  3. Step 3: Cross multiply
    1,413,078x = 3,094,878 × 3,094,878
  4. Step 4: Simplify right side
    1,413,078x = 9,578,269,834,884
  5. Step 5: Solve for x
    x = 9,578,269,834,884/1,413,078
  6. Step 6: Final answer
    x = 6,778,302.28

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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.