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Finding the Third Proportional to 2,075,853.50 and 2,921,982

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Solution

The third proportional to 2,075,853.50 and 2,921,982 is: 4,112,996.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,075,853.50 : 2,921,982 = 2,921,982 : x
  2. Step 2: Convert to fraction form
    2,075,853.50/2,921,982 = 2,921,982/x
  3. Step 3: Cross multiply
    2,075,853.50x = 2,921,982 × 2,921,982
  4. Step 4: Simplify right side
    2,075,853.50x = 8,537,978,808,324
  5. Step 5: Solve for x
    x = 8,537,978,808,324/2,075,853.50
  6. Step 6: Final answer
    x = 4,112,996.80

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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.