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Finding the Third Proportional to 456,457 and 985,084

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Solution

The third proportional to 456,457 and 985,084 is: 2,125,918.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,457 : 985,084 = 985,084 : x
  2. Step 2: Convert to fraction form
    456,457/985,084 = 985,084/x
  3. Step 3: Cross multiply
    456,457x = 985,084 × 985,084
  4. Step 4: Simplify right side
    456,457x = 970,390,487,056
  5. Step 5: Solve for x
    x = 970,390,487,056/456,457
  6. Step 6: Final answer
    x = 2,125,918.73

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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.