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Finding the Third Proportional to 403,841 and 849,535

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Solution

The third proportional to 403,841 and 849,535 is: 1,787,113.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,841 : 849,535 = 849,535 : x
  2. Step 2: Convert to fraction form
    403,841/849,535 = 849,535/x
  3. Step 3: Cross multiply
    403,841x = 849,535 × 849,535
  4. Step 4: Simplify right side
    403,841x = 721,709,716,225
  5. Step 5: Solve for x
    x = 721,709,716,225/403,841
  6. Step 6: Final answer
    x = 1,787,113.53

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.