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Finding the Third Proportional to 1,365,950.25 and 2,004,638.63

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Solution

The third proportional to 1,365,950.25 and 2,004,638.63 is: 2,941,963.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,365,950.25 : 2,004,638.63 = 2,004,638.63 : x
  2. Step 2: Convert to fraction form
    1,365,950.25/2,004,638.63 = 2,004,638.63/x
  3. Step 3: Cross multiply
    1,365,950.25x = 2,004,638.63 × 2,004,638.63
  4. Step 4: Simplify right side
    1,365,950.25x = 4,018,576,016,841.89
  5. Step 5: Solve for x
    x = 4,018,576,016,841.89/1,365,950.25
  6. Step 6: Final answer
    x = 2,941,963.67

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