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Finding the Third Proportional to 1,011,185.02 and 1,422,303.05

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Solution

The third proportional to 1,011,185.02 and 1,422,303.05 is: 2,000,569.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,011,185.02 : 1,422,303.05 = 1,422,303.05 : x
  2. Step 2: Convert to fraction form
    1,011,185.02/1,422,303.05 = 1,422,303.05/x
  3. Step 3: Cross multiply
    1,011,185.02x = 1,422,303.05 × 1,422,303.05
  4. Step 4: Simplify right side
    1,011,185.02x = 2,022,945,957,149.91
  5. Step 5: Solve for x
    x = 2,022,945,957,149.91/1,011,185.02
  6. Step 6: Final answer
    x = 2,000,569.56

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.