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Finding the Third Proportional to 2,075,854 and 2,921,983

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Solution

The third proportional to 2,075,854 and 2,921,983 is: 4,112,998.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,075,854 : 2,921,983 = 2,921,983 : x
  2. Step 2: Convert to fraction form
    2,075,854/2,921,983 = 2,921,983/x
  3. Step 3: Cross multiply
    2,075,854x = 2,921,983 × 2,921,983
  4. Step 4: Simplify right side
    2,075,854x = 8,537,984,652,289
  5. Step 5: Solve for x
    x = 8,537,984,652,289/2,075,854
  6. Step 6: Final answer
    x = 4,112,998.63

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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.