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Finding the Third Proportional to 788,970 and 1,116,384

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Solution

The third proportional to 788,970 and 1,116,384 is: 1,579,671.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    788,970 : 1,116,384 = 1,116,384 : x
  2. Step 2: Convert to fraction form
    788,970/1,116,384 = 1,116,384/x
  3. Step 3: Cross multiply
    788,970x = 1,116,384 × 1,116,384
  4. Step 4: Simplify right side
    788,970x = 1,246,313,235,456
  5. Step 5: Solve for x
    x = 1,246,313,235,456/788,970
  6. Step 6: Final answer
    x = 1,579,671.26

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.