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Finding the Third Proportional to 697,746.38 and 1,536,918.75

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Solution

The third proportional to 697,746.38 and 1,536,918.75 is: 3,385,355.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    697,746.38 : 1,536,918.75 = 1,536,918.75 : x
  2. Step 2: Convert to fraction form
    697,746.38/1,536,918.75 = 1,536,918.75/x
  3. Step 3: Cross multiply
    697,746.38x = 1,536,918.75 × 1,536,918.75
  4. Step 4: Simplify right side
    697,746.38x = 2,362,119,244,101.56
  5. Step 5: Solve for x
    x = 2,362,119,244,101.56/697,746.38
  6. Step 6: Final answer
    x = 3,385,355.09

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.