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Finding the Third Proportional to 453,471 and 989,835

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Solution

The third proportional to 453,471 and 989,835 is: 2,160,608.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    453,471 : 989,835 = 989,835 : x
  2. Step 2: Convert to fraction form
    453,471/989,835 = 989,835/x
  3. Step 3: Cross multiply
    453,471x = 989,835 × 989,835
  4. Step 4: Simplify right side
    453,471x = 979,773,327,225
  5. Step 5: Solve for x
    x = 979,773,327,225/453,471
  6. Step 6: Final answer
    x = 2,160,608.57

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.