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Finding the Third Proportional to 871,820 and 1,171,590

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Solution

The third proportional to 871,820 and 1,171,590 is: 1,574,434.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    871,820 : 1,171,590 = 1,171,590 : x
  2. Step 2: Convert to fraction form
    871,820/1,171,590 = 1,171,590/x
  3. Step 3: Cross multiply
    871,820x = 1,171,590 × 1,171,590
  4. Step 4: Simplify right side
    871,820x = 1,372,623,128,100
  5. Step 5: Solve for x
    x = 1,372,623,128,100/871,820
  6. Step 6: Final answer
    x = 1,574,434.09

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These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.