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Finding the Third Proportional to 469,197 and 1,031,706

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Solution

The third proportional to 469,197 and 1,031,706 is: 2,268,593.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,197 : 1,031,706 = 1,031,706 : x
  2. Step 2: Convert to fraction form
    469,197/1,031,706 = 1,031,706/x
  3. Step 3: Cross multiply
    469,197x = 1,031,706 × 1,031,706
  4. Step 4: Simplify right side
    469,197x = 1,064,417,270,436
  5. Step 5: Solve for x
    x = 1,064,417,270,436/469,197
  6. Step 6: Final answer
    x = 2,268,593.51

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.