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Finding the Third Proportional to 832,806 and 1,808,313

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Solution

The third proportional to 832,806 and 1,808,313 is: 3,926,479.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    832,806 : 1,808,313 = 1,808,313 : x
  2. Step 2: Convert to fraction form
    832,806/1,808,313 = 1,808,313/x
  3. Step 3: Cross multiply
    832,806x = 1,808,313 × 1,808,313
  4. Step 4: Simplify right side
    832,806x = 3,269,995,905,969
  5. Step 5: Solve for x
    x = 3,269,995,905,969/832,806
  6. Step 6: Final answer
    x = 3,926,479.76

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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.