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Finding the Third Proportional to 1,567,643.52 and 2,290,977.21

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Solution

The third proportional to 1,567,643.52 and 2,290,977.21 is: 3,348,067.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,567,643.52 : 2,290,977.21 = 2,290,977.21 : x
  2. Step 2: Convert to fraction form
    1,567,643.52/2,290,977.21 = 2,290,977.21/x
  3. Step 3: Cross multiply
    1,567,643.52x = 2,290,977.21 × 2,290,977.21
  4. Step 4: Simplify right side
    1,567,643.52x = 5,248,576,581,035.43
  5. Step 5: Solve for x
    x = 5,248,576,581,035.43/1,567,643.52
  6. Step 6: Final answer
    x = 3,348,067.67

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.