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Finding the Third Proportional to 1,403,769 and 2,874,036

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Solution

The third proportional to 1,403,769 and 2,874,036 is: 5,884,218.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,403,769 : 2,874,036 = 2,874,036 : x
  2. Step 2: Convert to fraction form
    1,403,769/2,874,036 = 2,874,036/x
  3. Step 3: Cross multiply
    1,403,769x = 2,874,036 × 2,874,036
  4. Step 4: Simplify right side
    1,403,769x = 8,260,082,929,296
  5. Step 5: Solve for x
    x = 8,260,082,929,296/1,403,769
  6. Step 6: Final answer
    x = 5,884,218.08

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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.