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Finding the Third Proportional to 697,300 and 1,505,192

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Solution

The third proportional to 697,300 and 1,505,192 is: 3,249,107.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    697,300 : 1,505,192 = 1,505,192 : x
  2. Step 2: Convert to fraction form
    697,300/1,505,192 = 1,505,192/x
  3. Step 3: Cross multiply
    697,300x = 1,505,192 × 1,505,192
  4. Step 4: Simplify right side
    697,300x = 2,265,602,956,864
  5. Step 5: Solve for x
    x = 2,265,602,956,864/697,300
  6. Step 6: Final answer
    x = 3,249,107.93

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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.