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Finding the Third Proportional to 1,143,820.25 and 2,464,925.50

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Solution

The third proportional to 1,143,820.25 and 2,464,925.50 is: 5,311,899.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,143,820.25 : 2,464,925.50 = 2,464,925.50 : x
  2. Step 2: Convert to fraction form
    1,143,820.25/2,464,925.50 = 2,464,925.50/x
  3. Step 3: Cross multiply
    1,143,820.25x = 2,464,925.50 × 2,464,925.50
  4. Step 4: Simplify right side
    1,143,820.25x = 6,075,857,720,550.25
  5. Step 5: Solve for x
    x = 6,075,857,720,550.25/1,143,820.25
  6. Step 6: Final answer
    x = 5,311,899.07

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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.