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Finding the Third Proportional to 460,076 and 994,024

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Solution

The third proportional to 460,076 and 994,024 is: 2,147,653.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,076 : 994,024 = 994,024 : x
  2. Step 2: Convert to fraction form
    460,076/994,024 = 994,024/x
  3. Step 3: Cross multiply
    460,076x = 994,024 × 994,024
  4. Step 4: Simplify right side
    460,076x = 988,083,712,576
  5. Step 5: Solve for x
    x = 988,083,712,576/460,076
  6. Step 6: Final answer
    x = 2,147,653.24

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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.