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Finding the Third Proportional to 2,075,472 and 4,465,021.50

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Solution

The third proportional to 2,075,472 and 4,465,021.50 is: 9,605,726.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,075,472 : 4,465,021.50 = 4,465,021.50 : x
  2. Step 2: Convert to fraction form
    2,075,472/4,465,021.50 = 4,465,021.50/x
  3. Step 3: Cross multiply
    2,075,472x = 4,465,021.50 × 4,465,021.50
  4. Step 4: Simplify right side
    2,075,472x = 19,936,416,995,462.25
  5. Step 5: Solve for x
    x = 19,936,416,995,462.25/2,075,472
  6. Step 6: Final answer
    x = 9,605,726.79

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.