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Finding the Third Proportional to 619,471 and 946,979

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Solution

The third proportional to 619,471 and 946,979 is: 1,447,637.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    619,471 : 946,979 = 946,979 : x
  2. Step 2: Convert to fraction form
    619,471/946,979 = 946,979/x
  3. Step 3: Cross multiply
    619,471x = 946,979 × 946,979
  4. Step 4: Simplify right side
    619,471x = 896,769,226,441
  5. Step 5: Solve for x
    x = 896,769,226,441/619,471
  6. Step 6: Final answer
    x = 1,447,637.14

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.