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Finding the Third Proportional to 728,796 and 1,536,810

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Solution

The third proportional to 728,796 and 1,536,810 is: 3,240,666.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    728,796 : 1,536,810 = 1,536,810 : x
  2. Step 2: Convert to fraction form
    728,796/1,536,810 = 1,536,810/x
  3. Step 3: Cross multiply
    728,796x = 1,536,810 × 1,536,810
  4. Step 4: Simplify right side
    728,796x = 2,361,784,976,100
  5. Step 5: Solve for x
    x = 2,361,784,976,100/728,796
  6. Step 6: Final answer
    x = 3,240,666.77

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.