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Finding the Third Proportional to 421,542 and 1,015,911

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Solution

The third proportional to 421,542 and 1,015,911 is: 2,448,332.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,542 : 1,015,911 = 1,015,911 : x
  2. Step 2: Convert to fraction form
    421,542/1,015,911 = 1,015,911/x
  3. Step 3: Cross multiply
    421,542x = 1,015,911 × 1,015,911
  4. Step 4: Simplify right side
    421,542x = 1,032,075,159,921
  5. Step 5: Solve for x
    x = 1,032,075,159,921/421,542
  6. Step 6: Final answer
    x = 2,448,332.93

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These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.