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Finding the Third Proportional to 623,826 and 889,083

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Solution

The third proportional to 623,826 and 889,083 is: 1,267,129.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    623,826 : 889,083 = 889,083 : x
  2. Step 2: Convert to fraction form
    623,826/889,083 = 889,083/x
  3. Step 3: Cross multiply
    623,826x = 889,083 × 889,083
  4. Step 4: Simplify right side
    623,826x = 790,468,580,889
  5. Step 5: Solve for x
    x = 790,468,580,889/623,826
  6. Step 6: Final answer
    x = 1,267,129.91

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.