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Finding the Third Proportional to 988,328.25 and 2,165,767.50

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Solution

The third proportional to 988,328.25 and 2,165,767.50 is: 4,745,942.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    988,328.25 : 2,165,767.50 = 2,165,767.50 : x
  2. Step 2: Convert to fraction form
    988,328.25/2,165,767.50 = 2,165,767.50/x
  3. Step 3: Cross multiply
    988,328.25x = 2,165,767.50 × 2,165,767.50
  4. Step 4: Simplify right side
    988,328.25x = 4,690,548,864,056.25
  5. Step 5: Solve for x
    x = 4,690,548,864,056.25/988,328.25
  6. Step 6: Final answer
    x = 4,745,942.32

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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.