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Finding the Third Proportional to 460,203 and 988,716

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Solution

The third proportional to 460,203 and 988,716 is: 2,124,191.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,203 : 988,716 = 988,716 : x
  2. Step 2: Convert to fraction form
    460,203/988,716 = 988,716/x
  3. Step 3: Cross multiply
    460,203x = 988,716 × 988,716
  4. Step 4: Simplify right side
    460,203x = 977,559,328,656
  5. Step 5: Solve for x
    x = 977,559,328,656/460,203
  6. Step 6: Final answer
    x = 2,124,191.56

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.