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Finding the Third Proportional to 1,937,129 and 4,223,041

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Solution

The third proportional to 1,937,129 and 4,223,041 is: 9,206,446.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,937,129 : 4,223,041 = 4,223,041 : x
  2. Step 2: Convert to fraction form
    1,937,129/4,223,041 = 4,223,041/x
  3. Step 3: Cross multiply
    1,937,129x = 4,223,041 × 4,223,041
  4. Step 4: Simplify right side
    1,937,129x = 17,834,075,287,681
  5. Step 5: Solve for x
    x = 17,834,075,287,681/1,937,129
  6. Step 6: Final answer
    x = 9,206,446.91

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.