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Finding the Third Proportional to 946,562 and 1,420,275

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Solution

The third proportional to 946,562 and 1,420,275 is: 2,131,060.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    946,562 : 1,420,275 = 1,420,275 : x
  2. Step 2: Convert to fraction form
    946,562/1,420,275 = 1,420,275/x
  3. Step 3: Cross multiply
    946,562x = 1,420,275 × 1,420,275
  4. Step 4: Simplify right side
    946,562x = 2,017,181,075,625
  5. Step 5: Solve for x
    x = 2,017,181,075,625/946,562
  6. Step 6: Final answer
    x = 2,131,060.70

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.