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Finding the Third Proportional to 832,814.16 and 1,808,330.06

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Solution

The third proportional to 832,814.16 and 1,808,330.06 is: 3,926,515.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    832,814.16 : 1,808,330.06 = 1,808,330.06 : x
  2. Step 2: Convert to fraction form
    832,814.16/1,808,330.06 = 1,808,330.06/x
  3. Step 3: Cross multiply
    832,814.16x = 1,808,330.06 × 1,808,330.06
  4. Step 4: Simplify right side
    832,814.16x = 3,270,057,614,941.25
  5. Step 5: Solve for x
    x = 3,270,057,614,941.25/832,814.16
  6. Step 6: Final answer
    x = 3,926,515.41

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.