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Finding the Third Proportional to 1,010,130 and 1,683,351

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Solution

The third proportional to 1,010,130 and 1,683,351 is: 2,805,253.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,010,130 : 1,683,351 = 1,683,351 : x
  2. Step 2: Convert to fraction form
    1,010,130/1,683,351 = 1,683,351/x
  3. Step 3: Cross multiply
    1,010,130x = 1,683,351 × 1,683,351
  4. Step 4: Simplify right side
    1,010,130x = 2,833,670,589,201
  5. Step 5: Solve for x
    x = 2,833,670,589,201/1,010,130
  6. Step 6: Final answer
    x = 2,805,253.37

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Why These Related Problems?

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