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Finding the Third Proportional to 484,764 and 1,046,964

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Solution

The third proportional to 484,764 and 1,046,964 is: 2,261,169.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    484,764 : 1,046,964 = 1,046,964 : x
  2. Step 2: Convert to fraction form
    484,764/1,046,964 = 1,046,964/x
  3. Step 3: Cross multiply
    484,764x = 1,046,964 × 1,046,964
  4. Step 4: Simplify right side
    484,764x = 1,096,133,617,296
  5. Step 5: Solve for x
    x = 1,096,133,617,296/484,764
  6. Step 6: Final answer
    x = 2,261,169.59

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.