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Finding the Third Proportional to 405,743 and 881,470

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Solution

The third proportional to 405,743 and 881,470 is: 1,914,979.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,743 : 881,470 = 881,470 : x
  2. Step 2: Convert to fraction form
    405,743/881,470 = 881,470/x
  3. Step 3: Cross multiply
    405,743x = 881,470 × 881,470
  4. Step 4: Simplify right side
    405,743x = 776,989,360,900
  5. Step 5: Solve for x
    x = 776,989,360,900/405,743
  6. Step 6: Final answer
    x = 1,914,979.09

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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.