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Finding the Third Proportional to 826,362 and 1,276,911

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Solution

The third proportional to 826,362 and 1,276,911 is: 1,973,108.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    826,362 : 1,276,911 = 1,276,911 : x
  2. Step 2: Convert to fraction form
    826,362/1,276,911 = 1,276,911/x
  3. Step 3: Cross multiply
    826,362x = 1,276,911 × 1,276,911
  4. Step 4: Simplify right side
    826,362x = 1,630,501,701,921
  5. Step 5: Solve for x
    x = 1,630,501,701,921/826,362
  6. Step 6: Final answer
    x = 1,973,108.28

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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.