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Finding the Third Proportional to 1,174,774.50 and 2,576,511

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Solution

The third proportional to 1,174,774.50 and 2,576,511 is: 5,650,794.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,174,774.50 : 2,576,511 = 2,576,511 : x
  2. Step 2: Convert to fraction form
    1,174,774.50/2,576,511 = 2,576,511/x
  3. Step 3: Cross multiply
    1,174,774.50x = 2,576,511 × 2,576,511
  4. Step 4: Simplify right side
    1,174,774.50x = 6,638,408,933,121
  5. Step 5: Solve for x
    x = 6,638,408,933,121/1,174,774.50
  6. Step 6: Final answer
    x = 5,650,794.20

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.