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Finding the Third Proportional to 604,842 and 889,742

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Solution

The third proportional to 604,842 and 889,742 is: 1,308,839.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    604,842 : 889,742 = 889,742 : x
  2. Step 2: Convert to fraction form
    604,842/889,742 = 889,742/x
  3. Step 3: Cross multiply
    604,842x = 889,742 × 889,742
  4. Step 4: Simplify right side
    604,842x = 791,640,826,564
  5. Step 5: Solve for x
    x = 791,640,826,564/604,842
  6. Step 6: Final answer
    x = 1,308,839.05

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.