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Finding the Third Proportional to 1,049,633 and 2,301,010

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Solution

The third proportional to 1,049,633 and 2,301,010 is: 5,044,284.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,049,633 : 2,301,010 = 2,301,010 : x
  2. Step 2: Convert to fraction form
    1,049,633/2,301,010 = 2,301,010/x
  3. Step 3: Cross multiply
    1,049,633x = 2,301,010 × 2,301,010
  4. Step 4: Simplify right side
    1,049,633x = 5,294,647,020,100
  5. Step 5: Solve for x
    x = 5,294,647,020,100/1,049,633
  6. Step 6: Final answer
    x = 5,044,284.07

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.