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Finding the Third Proportional to 2,075,856 and 2,921,986

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Solution

The third proportional to 2,075,856 and 2,921,986 is: 4,113,003.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,075,856 : 2,921,986 = 2,921,986 : x
  2. Step 2: Convert to fraction form
    2,075,856/2,921,986 = 2,921,986/x
  3. Step 3: Cross multiply
    2,075,856x = 2,921,986 × 2,921,986
  4. Step 4: Simplify right side
    2,075,856x = 8,538,002,184,196
  5. Step 5: Solve for x
    x = 8,538,002,184,196/2,075,856
  6. Step 6: Final answer
    x = 4,113,003.11

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.