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Finding the Third Proportional to 401,154 and 881,043

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Solution

The third proportional to 401,154 and 881,043 is: 1,935,009.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,154 : 881,043 = 881,043 : x
  2. Step 2: Convert to fraction form
    401,154/881,043 = 881,043/x
  3. Step 3: Cross multiply
    401,154x = 881,043 × 881,043
  4. Step 4: Simplify right side
    401,154x = 776,236,767,849
  5. Step 5: Solve for x
    x = 776,236,767,849/401,154
  6. Step 6: Final answer
    x = 1,935,009.42

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.