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Finding the Third Proportional to 1,226,034 and 1,683,010

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Solution

The third proportional to 1,226,034 and 1,683,010 is: 2,310,313.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,226,034 : 1,683,010 = 1,683,010 : x
  2. Step 2: Convert to fraction form
    1,226,034/1,683,010 = 1,683,010/x
  3. Step 3: Cross multiply
    1,226,034x = 1,683,010 × 1,683,010
  4. Step 4: Simplify right side
    1,226,034x = 2,832,522,660,100
  5. Step 5: Solve for x
    x = 2,832,522,660,100/1,226,034
  6. Step 6: Final answer
    x = 2,310,313.30

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.