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Finding the Third Proportional to 1,000,948 and 2,084,732

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Solution

The third proportional to 1,000,948 and 2,084,732 is: 4,341,991.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,000,948 : 2,084,732 = 2,084,732 : x
  2. Step 2: Convert to fraction form
    1,000,948/2,084,732 = 2,084,732/x
  3. Step 3: Cross multiply
    1,000,948x = 2,084,732 × 2,084,732
  4. Step 4: Simplify right side
    1,000,948x = 4,346,107,511,824
  5. Step 5: Solve for x
    x = 4,346,107,511,824/1,000,948
  6. Step 6: Final answer
    x = 4,341,991.30

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.