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Finding the Third Proportional to 405,244 and 881,842

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Solution

The third proportional to 405,244 and 881,842 is: 1,918,955.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,244 : 881,842 = 881,842 : x
  2. Step 2: Convert to fraction form
    405,244/881,842 = 881,842/x
  3. Step 3: Cross multiply
    405,244x = 881,842 × 881,842
  4. Step 4: Simplify right side
    405,244x = 777,645,312,964
  5. Step 5: Solve for x
    x = 777,645,312,964/405,244
  6. Step 6: Final answer
    x = 1,918,955.77

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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.