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Finding the Third Proportional to 464,860 and 1,007,964

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Solution

The third proportional to 464,860 and 1,007,964 is: 2,185,585.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,860 : 1,007,964 = 1,007,964 : x
  2. Step 2: Convert to fraction form
    464,860/1,007,964 = 1,007,964/x
  3. Step 3: Cross multiply
    464,860x = 1,007,964 × 1,007,964
  4. Step 4: Simplify right side
    464,860x = 1,015,991,425,296
  5. Step 5: Solve for x
    x = 1,015,991,425,296/464,860
  6. Step 6: Final answer
    x = 2,185,585.82

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.