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Finding the Third Proportional to 401,145.19 and 881,020.69

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Solution

The third proportional to 401,145.19 and 881,020.69 is: 1,934,953.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,145.19 : 881,020.69 = 881,020.69 : x
  2. Step 2: Convert to fraction form
    401,145.19/881,020.69 = 881,020.69/x
  3. Step 3: Cross multiply
    401,145.19x = 881,020.69 × 881,020.69
  4. Step 4: Simplify right side
    401,145.19x = 776,197,451,802.97
  5. Step 5: Solve for x
    x = 776,197,451,802.97/401,145.19
  6. Step 6: Final answer
    x = 1,934,953.92

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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.