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Finding the Third Proportional to 871,144 and 1,875,772

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Solution

The third proportional to 871,144 and 1,875,772 is: 4,038,965.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    871,144 : 1,875,772 = 1,875,772 : x
  2. Step 2: Convert to fraction form
    871,144/1,875,772 = 1,875,772/x
  3. Step 3: Cross multiply
    871,144x = 1,875,772 × 1,875,772
  4. Step 4: Simplify right side
    871,144x = 3,518,520,595,984
  5. Step 5: Solve for x
    x = 3,518,520,595,984/871,144
  6. Step 6: Final answer
    x = 4,038,965.54

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.