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Finding the Third Proportional to 1,405,235 and 3,023,597

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Solution

The third proportional to 1,405,235 and 3,023,597 is: 6,505,772.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,405,235 : 3,023,597 = 3,023,597 : x
  2. Step 2: Convert to fraction form
    1,405,235/3,023,597 = 3,023,597/x
  3. Step 3: Cross multiply
    1,405,235x = 3,023,597 × 3,023,597
  4. Step 4: Simplify right side
    1,405,235x = 9,142,138,818,409
  5. Step 5: Solve for x
    x = 9,142,138,818,409/1,405,235
  6. Step 6: Final answer
    x = 6,505,772.21

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