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Finding the Third Proportional to 697,274 and 1,505,140

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Solution

The third proportional to 697,274 and 1,505,140 is: 3,249,004.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    697,274 : 1,505,140 = 1,505,140 : x
  2. Step 2: Convert to fraction form
    697,274/1,505,140 = 1,505,140/x
  3. Step 3: Cross multiply
    697,274x = 1,505,140 × 1,505,140
  4. Step 4: Simplify right side
    697,274x = 2,265,446,419,600
  5. Step 5: Solve for x
    x = 2,265,446,419,600/697,274
  6. Step 6: Final answer
    x = 3,249,004.58

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.