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Finding the Third Proportional to 1,425,735.42 and 2,209,045.92

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Solution

The third proportional to 1,425,735.42 and 2,209,045.92 is: 3,422,713.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,425,735.42 : 2,209,045.92 = 2,209,045.92 : x
  2. Step 2: Convert to fraction form
    1,425,735.42/2,209,045.92 = 2,209,045.92/x
  3. Step 3: Cross multiply
    1,425,735.42x = 2,209,045.92 × 2,209,045.92
  4. Step 4: Simplify right side
    1,425,735.42x = 4,879,883,884,952.57
  5. Step 5: Solve for x
    x = 4,879,883,884,952.57/1,425,735.42
  6. Step 6: Final answer
    x = 3,422,713.51

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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.