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Finding the Third Proportional to 405,741 and 881,466

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Solution

The third proportional to 405,741 and 881,466 is: 1,914,971.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,741 : 881,466 = 881,466 : x
  2. Step 2: Convert to fraction form
    405,741/881,466 = 881,466/x
  3. Step 3: Cross multiply
    405,741x = 881,466 × 881,466
  4. Step 4: Simplify right side
    405,741x = 776,982,309,156
  5. Step 5: Solve for x
    x = 776,982,309,156/405,741
  6. Step 6: Final answer
    x = 1,914,971.15

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.