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Finding the Third Proportional to 946,983 and 1,421,571

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Solution

The third proportional to 946,983 and 1,421,571 is: 2,134,002.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    946,983 : 1,421,571 = 1,421,571 : x
  2. Step 2: Convert to fraction form
    946,983/1,421,571 = 1,421,571/x
  3. Step 3: Cross multiply
    946,983x = 1,421,571 × 1,421,571
  4. Step 4: Simplify right side
    946,983x = 2,020,864,108,041
  5. Step 5: Solve for x
    x = 2,020,864,108,041/946,983
  6. Step 6: Final answer
    x = 2,134,002.52

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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.