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Finding the Third Proportional to 604,406 and 889,905

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Solution

The third proportional to 604,406 and 889,905 is: 1,310,263.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    604,406 : 889,905 = 889,905 : x
  2. Step 2: Convert to fraction form
    604,406/889,905 = 889,905/x
  3. Step 3: Cross multiply
    604,406x = 889,905 × 889,905
  4. Step 4: Simplify right side
    604,406x = 791,930,909,025
  5. Step 5: Solve for x
    x = 791,930,909,025/604,406
  6. Step 6: Final answer
    x = 1,310,263.15

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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.