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Finding the Third Proportional to 2,289,032.16 and 3,051,434.53

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Solution

The third proportional to 2,289,032.16 and 3,051,434.53 is: 4,067,768.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,289,032.16 : 3,051,434.53 = 3,051,434.53 : x
  2. Step 2: Convert to fraction form
    2,289,032.16/3,051,434.53 = 3,051,434.53/x
  3. Step 3: Cross multiply
    2,289,032.16x = 3,051,434.53 × 3,051,434.53
  4. Step 4: Simplify right side
    2,289,032.16x = 9,311,252,698,504.91
  5. Step 5: Solve for x
    x = 9,311,252,698,504.91/2,289,032.16
  6. Step 6: Final answer
    x = 4,067,768.41

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.