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Finding the Third Proportional to 1,540,709 and 3,435,469

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Solution

The third proportional to 1,540,709 and 3,435,469 is: 7,660,400.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,540,709 : 3,435,469 = 3,435,469 : x
  2. Step 2: Convert to fraction form
    1,540,709/3,435,469 = 3,435,469/x
  3. Step 3: Cross multiply
    1,540,709x = 3,435,469 × 3,435,469
  4. Step 4: Simplify right side
    1,540,709x = 11,802,447,249,961
  5. Step 5: Solve for x
    x = 11,802,447,249,961/1,540,709
  6. Step 6: Final answer
    x = 7,660,400.02

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