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Finding the Third Proportional to 985,891.50 and 2,119,000.50

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Solution

The third proportional to 985,891.50 and 2,119,000.50 is: 4,554,419.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    985,891.50 : 2,119,000.50 = 2,119,000.50 : x
  2. Step 2: Convert to fraction form
    985,891.50/2,119,000.50 = 2,119,000.50/x
  3. Step 3: Cross multiply
    985,891.50x = 2,119,000.50 × 2,119,000.50
  4. Step 4: Simplify right side
    985,891.50x = 4,490,163,119,000.25
  5. Step 5: Solve for x
    x = 4,490,163,119,000.25/985,891.50
  6. Step 6: Final answer
    x = 4,554,419.14

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.