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Finding the Third Proportional to 976,089 and 1,999,744.50

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Solution

The third proportional to 976,089 and 1,999,744.50 is: 4,096,940.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    976,089 : 1,999,744.50 = 1,999,744.50 : x
  2. Step 2: Convert to fraction form
    976,089/1,999,744.50 = 1,999,744.50/x
  3. Step 3: Cross multiply
    976,089x = 1,999,744.50 × 1,999,744.50
  4. Step 4: Simplify right side
    976,089x = 3,998,978,065,280.25
  5. Step 5: Solve for x
    x = 3,998,978,065,280.25/976,089
  6. Step 6: Final answer
    x = 4,096,940.00

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.