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Finding the Third Proportional to 456,447 and 985,066

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Solution

The third proportional to 456,447 and 985,066 is: 2,125,887.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,447 : 985,066 = 985,066 : x
  2. Step 2: Convert to fraction form
    456,447/985,066 = 985,066/x
  3. Step 3: Cross multiply
    456,447x = 985,066 × 985,066
  4. Step 4: Simplify right side
    456,447x = 970,355,024,356
  5. Step 5: Solve for x
    x = 970,355,024,356/456,447
  6. Step 6: Final answer
    x = 2,125,887.62

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.