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Finding the Third Proportional to 451,946 and 619,716

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Solution

The third proportional to 451,946 and 619,716 is: 849,765.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    451,946 : 619,716 = 619,716 : x
  2. Step 2: Convert to fraction form
    451,946/619,716 = 619,716/x
  3. Step 3: Cross multiply
    451,946x = 619,716 × 619,716
  4. Step 4: Simplify right side
    451,946x = 384,047,920,656
  5. Step 5: Solve for x
    x = 384,047,920,656/451,946
  6. Step 6: Final answer
    x = 849,765.06

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.