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Finding the Third Proportional to 976,209 and 1,999,991

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Solution

The third proportional to 976,209 and 1,999,991 is: 4,097,446.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    976,209 : 1,999,991 = 1,999,991 : x
  2. Step 2: Convert to fraction form
    976,209/1,999,991 = 1,999,991/x
  3. Step 3: Cross multiply
    976,209x = 1,999,991 × 1,999,991
  4. Step 4: Simplify right side
    976,209x = 3,999,964,000,081
  5. Step 5: Solve for x
    x = 3,999,964,000,081/976,209
  6. Step 6: Final answer
    x = 4,097,446.35

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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.