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Finding the Third Proportional to 469,236 and 1,029,837

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Solution

The third proportional to 469,236 and 1,029,837 is: 2,260,193.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,236 : 1,029,837 = 1,029,837 : x
  2. Step 2: Convert to fraction form
    469,236/1,029,837 = 1,029,837/x
  3. Step 3: Cross multiply
    469,236x = 1,029,837 × 1,029,837
  4. Step 4: Simplify right side
    469,236x = 1,060,564,246,569
  5. Step 5: Solve for x
    x = 1,060,564,246,569/469,236
  6. Step 6: Final answer
    x = 2,260,193.69

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.