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Finding the Third Proportional to 462,912 and 1,007,796

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Solution

The third proportional to 462,912 and 1,007,796 is: 2,194,051.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,912 : 1,007,796 = 1,007,796 : x
  2. Step 2: Convert to fraction form
    462,912/1,007,796 = 1,007,796/x
  3. Step 3: Cross multiply
    462,912x = 1,007,796 × 1,007,796
  4. Step 4: Simplify right side
    462,912x = 1,015,652,777,616
  5. Step 5: Solve for x
    x = 1,015,652,777,616/462,912
  6. Step 6: Final answer
    x = 2,194,051.52

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.