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Finding the Third Proportional to 871,594 and 1,883,236

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Solution

The third proportional to 871,594 and 1,883,236 is: 4,069,070.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    871,594 : 1,883,236 = 1,883,236 : x
  2. Step 2: Convert to fraction form
    871,594/1,883,236 = 1,883,236/x
  3. Step 3: Cross multiply
    871,594x = 1,883,236 × 1,883,236
  4. Step 4: Simplify right side
    871,594x = 3,546,577,831,696
  5. Step 5: Solve for x
    x = 3,546,577,831,696/871,594
  6. Step 6: Final answer
    x = 4,069,070.96

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.