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Finding the Third Proportional to 464,054 and 983,020

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Solution

The third proportional to 464,054 and 983,020 is: 2,082,361.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,054 : 983,020 = 983,020 : x
  2. Step 2: Convert to fraction form
    464,054/983,020 = 983,020/x
  3. Step 3: Cross multiply
    464,054x = 983,020 × 983,020
  4. Step 4: Simplify right side
    464,054x = 966,328,320,400
  5. Step 5: Solve for x
    x = 966,328,320,400/464,054
  6. Step 6: Final answer
    x = 2,082,361.79

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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.