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Finding the Third Proportional to 1,441,408 and 2,210,977.50

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Solution

The third proportional to 1,441,408 and 2,210,977.50 is: 3,391,421.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,441,408 : 2,210,977.50 = 2,210,977.50 : x
  2. Step 2: Convert to fraction form
    1,441,408/2,210,977.50 = 2,210,977.50/x
  3. Step 3: Cross multiply
    1,441,408x = 2,210,977.50 × 2,210,977.50
  4. Step 4: Simplify right side
    1,441,408x = 4,888,421,505,506.25
  5. Step 5: Solve for x
    x = 4,888,421,505,506.25/1,441,408
  6. Step 6: Final answer
    x = 3,391,421.10

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.