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Finding the Third Proportional to 871,309 and 1,880,278

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Solution

The third proportional to 871,309 and 1,880,278 is: 4,057,625.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    871,309 : 1,880,278 = 1,880,278 : x
  2. Step 2: Convert to fraction form
    871,309/1,880,278 = 1,880,278/x
  3. Step 3: Cross multiply
    871,309x = 1,880,278 × 1,880,278
  4. Step 4: Simplify right side
    871,309x = 3,535,445,357,284
  5. Step 5: Solve for x
    x = 3,535,445,357,284/871,309
  6. Step 6: Final answer
    x = 4,057,625.20

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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.