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Finding the Third Proportional to 946,442 and 2,010,977

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Solution

The third proportional to 946,442 and 2,010,977 is: 4,272,875.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    946,442 : 2,010,977 = 2,010,977 : x
  2. Step 2: Convert to fraction form
    946,442/2,010,977 = 2,010,977/x
  3. Step 3: Cross multiply
    946,442x = 2,010,977 × 2,010,977
  4. Step 4: Simplify right side
    946,442x = 4,044,028,494,529
  5. Step 5: Solve for x
    x = 4,044,028,494,529/946,442
  6. Step 6: Final answer
    x = 4,272,875.14

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.