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Finding the Third Proportional to 946,462 and 1,430,977

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Solution

The third proportional to 946,462 and 1,430,977 is: 2,163,526.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    946,462 : 1,430,977 = 1,430,977 : x
  2. Step 2: Convert to fraction form
    946,462/1,430,977 = 1,430,977/x
  3. Step 3: Cross multiply
    946,462x = 1,430,977 × 1,430,977
  4. Step 4: Simplify right side
    946,462x = 2,047,695,174,529
  5. Step 5: Solve for x
    x = 2,047,695,174,529/946,462
  6. Step 6: Final answer
    x = 2,163,526.03

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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.