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Finding the Third Proportional to 470,757 and 1,029,543

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Solution

The third proportional to 470,757 and 1,029,543 is: 2,251,604.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,757 : 1,029,543 = 1,029,543 : x
  2. Step 2: Convert to fraction form
    470,757/1,029,543 = 1,029,543/x
  3. Step 3: Cross multiply
    470,757x = 1,029,543 × 1,029,543
  4. Step 4: Simplify right side
    470,757x = 1,059,958,788,849
  5. Step 5: Solve for x
    x = 1,059,958,788,849/470,757
  6. Step 6: Final answer
    x = 2,251,604.94

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