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Finding the Third Proportional to 684,776 and 1,029,234

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Solution

The third proportional to 684,776 and 1,029,234 is: 1,546,962.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    684,776 : 1,029,234 = 1,029,234 : x
  2. Step 2: Convert to fraction form
    684,776/1,029,234 = 1,029,234/x
  3. Step 3: Cross multiply
    684,776x = 1,029,234 × 1,029,234
  4. Step 4: Simplify right side
    684,776x = 1,059,322,626,756
  5. Step 5: Solve for x
    x = 1,059,322,626,756/684,776
  6. Step 6: Final answer
    x = 1,546,962.26

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.