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Finding the Third Proportional to 1,540,703 and 3,435,457

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Solution

The third proportional to 1,540,703 and 3,435,457 is: 7,660,376.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,540,703 : 3,435,457 = 3,435,457 : x
  2. Step 2: Convert to fraction form
    1,540,703/3,435,457 = 3,435,457/x
  3. Step 3: Cross multiply
    1,540,703x = 3,435,457 × 3,435,457
  4. Step 4: Simplify right side
    1,540,703x = 11,802,364,798,849
  5. Step 5: Solve for x
    x = 11,802,364,798,849/1,540,703
  6. Step 6: Final answer
    x = 7,660,376.33

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.