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Finding the Third Proportional to 1,410,994 and 3,102,909.50

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Solution

The third proportional to 1,410,994 and 3,102,909.50 is: 6,823,592.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,410,994 : 3,102,909.50 = 3,102,909.50 : x
  2. Step 2: Convert to fraction form
    1,410,994/3,102,909.50 = 3,102,909.50/x
  3. Step 3: Cross multiply
    1,410,994x = 3,102,909.50 × 3,102,909.50
  4. Step 4: Simplify right side
    1,410,994x = 9,628,047,365,190.25
  5. Step 5: Solve for x
    x = 9,628,047,365,190.25/1,410,994
  6. Step 6: Final answer
    x = 6,823,592.00

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.