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Finding the Third Proportional to 405,264 and 881,880

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Solution

The third proportional to 405,264 and 881,880 is: 1,919,026.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,264 : 881,880 = 881,880 : x
  2. Step 2: Convert to fraction form
    405,264/881,880 = 881,880/x
  3. Step 3: Cross multiply
    405,264x = 881,880 × 881,880
  4. Step 4: Simplify right side
    405,264x = 777,712,334,400
  5. Step 5: Solve for x
    x = 777,712,334,400/405,264
  6. Step 6: Final answer
    x = 1,919,026.45

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Why These Related Problems?

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