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Finding the Third Proportional to 1,217,464.50 and 1,892,511

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Solution

The third proportional to 1,217,464.50 and 1,892,511 is: 2,941,849.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,217,464.50 : 1,892,511 = 1,892,511 : x
  2. Step 2: Convert to fraction form
    1,217,464.50/1,892,511 = 1,892,511/x
  3. Step 3: Cross multiply
    1,217,464.50x = 1,892,511 × 1,892,511
  4. Step 4: Simplify right side
    1,217,464.50x = 3,581,597,885,121
  5. Step 5: Solve for x
    x = 3,581,597,885,121/1,217,464.50
  6. Step 6: Final answer
    x = 2,941,849.96

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.