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Finding the Third Proportional to 1,010,134 and 1,683,357

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Solution

The third proportional to 1,010,134 and 1,683,357 is: 2,805,262.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,010,134 : 1,683,357 = 1,683,357 : x
  2. Step 2: Convert to fraction form
    1,010,134/1,683,357 = 1,683,357/x
  3. Step 3: Cross multiply
    1,010,134x = 1,683,357 × 1,683,357
  4. Step 4: Simplify right side
    1,010,134x = 2,833,690,789,449
  5. Step 5: Solve for x
    x = 2,833,690,789,449/1,010,134
  6. Step 6: Final answer
    x = 2,805,262.26

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These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.