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Finding the Third Proportional to 989,008 and 2,117,976

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Solution

The third proportional to 989,008 and 2,117,976 is: 4,535,678.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    989,008 : 2,117,976 = 2,117,976 : x
  2. Step 2: Convert to fraction form
    989,008/2,117,976 = 2,117,976/x
  3. Step 3: Cross multiply
    989,008x = 2,117,976 × 2,117,976
  4. Step 4: Simplify right side
    989,008x = 4,485,822,336,576
  5. Step 5: Solve for x
    x = 4,485,822,336,576/989,008
  6. Step 6: Final answer
    x = 4,535,678.51

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.