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Finding the Third Proportional to 403,946 and 849,676

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Solution

The third proportional to 403,946 and 849,676 is: 1,787,242.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,946 : 849,676 = 849,676 : x
  2. Step 2: Convert to fraction form
    403,946/849,676 = 849,676/x
  3. Step 3: Cross multiply
    403,946x = 849,676 × 849,676
  4. Step 4: Simplify right side
    403,946x = 721,949,304,976
  5. Step 5: Solve for x
    x = 721,949,304,976/403,946
  6. Step 6: Final answer
    x = 1,787,242.12

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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.