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Finding the Third Proportional to 458,946 and 994,164

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Solution

The third proportional to 458,946 and 994,164 is: 2,153,547.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,946 : 994,164 = 994,164 : x
  2. Step 2: Convert to fraction form
    458,946/994,164 = 994,164/x
  3. Step 3: Cross multiply
    458,946x = 994,164 × 994,164
  4. Step 4: Simplify right side
    458,946x = 988,362,058,896
  5. Step 5: Solve for x
    x = 988,362,058,896/458,946
  6. Step 6: Final answer
    x = 2,153,547.60

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.