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Finding the Third Proportional to 604,464 and 889,968

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Solution

The third proportional to 604,464 and 889,968 is: 1,310,322.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    604,464 : 889,968 = 889,968 : x
  2. Step 2: Convert to fraction form
    604,464/889,968 = 889,968/x
  3. Step 3: Cross multiply
    604,464x = 889,968 × 889,968
  4. Step 4: Simplify right side
    604,464x = 792,043,041,024
  5. Step 5: Solve for x
    x = 792,043,041,024/604,464
  6. Step 6: Final answer
    x = 1,310,322.93

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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.