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Finding the Third Proportional to 423,516 and 881,880

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Solution

The third proportional to 423,516 and 881,880 is: 1,836,323.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    423,516 : 881,880 = 881,880 : x
  2. Step 2: Convert to fraction form
    423,516/881,880 = 881,880/x
  3. Step 3: Cross multiply
    423,516x = 881,880 × 881,880
  4. Step 4: Simplify right side
    423,516x = 777,712,334,400
  5. Step 5: Solve for x
    x = 777,712,334,400/423,516
  6. Step 6: Final answer
    x = 1,836,323.38

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.