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Finding the Third Proportional to 460,068 and 994,008

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Solution

The third proportional to 460,068 and 994,008 is: 2,147,621.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,068 : 994,008 = 994,008 : x
  2. Step 2: Convert to fraction form
    460,068/994,008 = 994,008/x
  3. Step 3: Cross multiply
    460,068x = 994,008 × 994,008
  4. Step 4: Simplify right side
    460,068x = 988,051,904,064
  5. Step 5: Solve for x
    x = 988,051,904,064/460,068
  6. Step 6: Final answer
    x = 2,147,621.45

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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.