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Finding the Third Proportional to 679,984 and 920,124

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Solution

The third proportional to 679,984 and 920,124 is: 1,245,070.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    679,984 : 920,124 = 920,124 : x
  2. Step 2: Convert to fraction form
    679,984/920,124 = 920,124/x
  3. Step 3: Cross multiply
    679,984x = 920,124 × 920,124
  4. Step 4: Simplify right side
    679,984x = 846,628,175,376
  5. Step 5: Solve for x
    x = 846,628,175,376/679,984
  6. Step 6: Final answer
    x = 1,245,070.73

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.