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Finding the Third Proportional to 989,432 and 2,168,236

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Solution

The third proportional to 989,432 and 2,168,236 is: 4,751,460.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    989,432 : 2,168,236 = 2,168,236 : x
  2. Step 2: Convert to fraction form
    989,432/2,168,236 = 2,168,236/x
  3. Step 3: Cross multiply
    989,432x = 2,168,236 × 2,168,236
  4. Step 4: Simplify right side
    989,432x = 4,701,247,351,696
  5. Step 5: Solve for x
    x = 4,701,247,351,696/989,432
  6. Step 6: Final answer
    x = 4,751,460.79

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.