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Finding the Third Proportional to 486,157 and 735,943

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Solution

The third proportional to 486,157 and 735,943 is: 1,114,068.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    486,157 : 735,943 = 735,943 : x
  2. Step 2: Convert to fraction form
    486,157/735,943 = 735,943/x
  3. Step 3: Cross multiply
    486,157x = 735,943 × 735,943
  4. Step 4: Simplify right side
    486,157x = 541,612,099,249
  5. Step 5: Solve for x
    x = 541,612,099,249/486,157
  6. Step 6: Final answer
    x = 1,114,068.29

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.