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Finding the Third Proportional to 1,944,706.50 and 4,201,002

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Solution

The third proportional to 1,944,706.50 and 4,201,002 is: 9,075,106.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,944,706.50 : 4,201,002 = 4,201,002 : x
  2. Step 2: Convert to fraction form
    1,944,706.50/4,201,002 = 4,201,002/x
  3. Step 3: Cross multiply
    1,944,706.50x = 4,201,002 × 4,201,002
  4. Step 4: Simplify right side
    1,944,706.50x = 17,648,417,804,004
  5. Step 5: Solve for x
    x = 17,648,417,804,004/1,944,706.50
  6. Step 6: Final answer
    x = 9,075,106.09

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.