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Finding the Third Proportional to 401,151.94 and 881,034.19

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Solution

The third proportional to 401,151.94 and 881,034.19 is: 1,934,980.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,151.94 : 881,034.19 = 881,034.19 : x
  2. Step 2: Convert to fraction form
    401,151.94/881,034.19 = 881,034.19/x
  3. Step 3: Cross multiply
    401,151.94x = 881,034.19 × 881,034.19
  4. Step 4: Simplify right side
    401,151.94x = 776,221,239,543.79
  5. Step 5: Solve for x
    x = 776,221,239,543.79/401,151.94
  6. Step 6: Final answer
    x = 1,934,980.66

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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.