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Finding the Third Proportional to 871,641 and 1,888,047

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Solution

The third proportional to 871,641 and 1,888,047 is: 4,089,667.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    871,641 : 1,888,047 = 1,888,047 : x
  2. Step 2: Convert to fraction form
    871,641/1,888,047 = 1,888,047/x
  3. Step 3: Cross multiply
    871,641x = 1,888,047 × 1,888,047
  4. Step 4: Simplify right side
    871,641x = 3,564,721,474,209
  5. Step 5: Solve for x
    x = 3,564,721,474,209/871,641
  6. Step 6: Final answer
    x = 4,089,667.05

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.