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Finding the Third Proportional to 946,353 and 1,430,821

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Solution

The third proportional to 946,353 and 1,430,821 is: 2,163,303.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    946,353 : 1,430,821 = 1,430,821 : x
  2. Step 2: Convert to fraction form
    946,353/1,430,821 = 1,430,821/x
  3. Step 3: Cross multiply
    946,353x = 1,430,821 × 1,430,821
  4. Step 4: Simplify right side
    946,353x = 2,047,248,734,041
  5. Step 5: Solve for x
    x = 2,047,248,734,041/946,353
  6. Step 6: Final answer
    x = 2,163,303.48

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.