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Finding the Third Proportional to 2,442,150 and 3,590,051.63

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Solution

The third proportional to 2,442,150 and 3,590,051.63 is: 5,277,509.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,442,150 : 3,590,051.63 = 3,590,051.63 : x
  2. Step 2: Convert to fraction form
    2,442,150/3,590,051.63 = 3,590,051.63/x
  3. Step 3: Cross multiply
    2,442,150x = 3,590,051.63 × 3,590,051.63
  4. Step 4: Simplify right side
    2,442,150x = 12,888,470,670,165.14
  5. Step 5: Solve for x
    x = 12,888,470,670,165.14/2,442,150
  6. Step 6: Final answer
    x = 5,277,509.85

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.