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Finding the Third Proportional to 401,937.19 and 869,484.38

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Solution

The third proportional to 401,937.19 and 869,484.38 is: 1,880,898.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,937.19 : 869,484.38 = 869,484.38 : x
  2. Step 2: Convert to fraction form
    401,937.19/869,484.38 = 869,484.38/x
  3. Step 3: Cross multiply
    401,937.19x = 869,484.38 × 869,484.38
  4. Step 4: Simplify right side
    401,937.19x = 756,003,078,369.14
  5. Step 5: Solve for x
    x = 756,003,078,369.14/401,937.19
  6. Step 6: Final answer
    x = 1,880,898.56

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.