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Finding the Third Proportional to 826,355 and 1,276,904

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Solution

The third proportional to 826,355 and 1,276,904 is: 1,973,103.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    826,355 : 1,276,904 = 1,276,904 : x
  2. Step 2: Convert to fraction form
    826,355/1,276,904 = 1,276,904/x
  3. Step 3: Cross multiply
    826,355x = 1,276,904 × 1,276,904
  4. Step 4: Simplify right side
    826,355x = 1,630,483,825,216
  5. Step 5: Solve for x
    x = 1,630,483,825,216/826,355
  6. Step 6: Final answer
    x = 1,973,103.36

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.