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Finding the Third Proportional to 871,623 and 1,897,641

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Solution

The third proportional to 871,623 and 1,897,641 is: 4,131,420.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    871,623 : 1,897,641 = 1,897,641 : x
  2. Step 2: Convert to fraction form
    871,623/1,897,641 = 1,897,641/x
  3. Step 3: Cross multiply
    871,623x = 1,897,641 × 1,897,641
  4. Step 4: Simplify right side
    871,623x = 3,601,041,364,881
  5. Step 5: Solve for x
    x = 3,601,041,364,881/871,623
  6. Step 6: Final answer
    x = 4,131,420.77

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.