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Finding the Third Proportional to 1,064,007 and 1,493,013

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Solution

The third proportional to 1,064,007 and 1,493,013 is: 2,094,993.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,064,007 : 1,493,013 = 1,493,013 : x
  2. Step 2: Convert to fraction form
    1,064,007/1,493,013 = 1,493,013/x
  3. Step 3: Cross multiply
    1,064,007x = 1,493,013 × 1,493,013
  4. Step 4: Simplify right side
    1,064,007x = 2,229,087,818,169
  5. Step 5: Solve for x
    x = 2,229,087,818,169/1,064,007
  6. Step 6: Final answer
    x = 2,094,993.57

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.