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Finding the Third Proportional to 840,908 and 1,133,057

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Solution

The third proportional to 840,908 and 1,133,057 is: 1,526,704.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    840,908 : 1,133,057 = 1,133,057 : x
  2. Step 2: Convert to fraction form
    840,908/1,133,057 = 1,133,057/x
  3. Step 3: Cross multiply
    840,908x = 1,133,057 × 1,133,057
  4. Step 4: Simplify right side
    840,908x = 1,283,818,165,249
  5. Step 5: Solve for x
    x = 1,283,818,165,249/840,908
  6. Step 6: Final answer
    x = 1,526,704.66

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.