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Finding the Third Proportional to 589,872 and 889,641

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Solution

The third proportional to 589,872 and 889,641 is: 1,341,750.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    589,872 : 889,641 = 889,641 : x
  2. Step 2: Convert to fraction form
    589,872/889,641 = 889,641/x
  3. Step 3: Cross multiply
    589,872x = 889,641 × 889,641
  4. Step 4: Simplify right side
    589,872x = 791,461,108,881
  5. Step 5: Solve for x
    x = 791,461,108,881/589,872
  6. Step 6: Final answer
    x = 1,341,750.60

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.