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Finding the Third Proportional to 435,798 and 941,621

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Solution

The third proportional to 435,798 and 941,621 is: 2,034,543.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    435,798 : 941,621 = 941,621 : x
  2. Step 2: Convert to fraction form
    435,798/941,621 = 941,621/x
  3. Step 3: Cross multiply
    435,798x = 941,621 × 941,621
  4. Step 4: Simplify right side
    435,798x = 886,650,107,641
  5. Step 5: Solve for x
    x = 886,650,107,641/435,798
  6. Step 6: Final answer
    x = 2,034,543.77

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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.