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Finding the Third Proportional to 403,906 and 849,596

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Solution

The third proportional to 403,906 and 849,596 is: 1,787,082.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,906 : 849,596 = 849,596 : x
  2. Step 2: Convert to fraction form
    403,906/849,596 = 849,596/x
  3. Step 3: Cross multiply
    403,906x = 849,596 × 849,596
  4. Step 4: Simplify right side
    403,906x = 721,813,363,216
  5. Step 5: Solve for x
    x = 721,813,363,216/403,906
  6. Step 6: Final answer
    x = 1,787,082.55

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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.