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Finding the Third Proportional to 470,763 and 1,029,552

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Solution

The third proportional to 470,763 and 1,029,552 is: 2,251,615.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,763 : 1,029,552 = 1,029,552 : x
  2. Step 2: Convert to fraction form
    470,763/1,029,552 = 1,029,552/x
  3. Step 3: Cross multiply
    470,763x = 1,029,552 × 1,029,552
  4. Step 4: Simplify right side
    470,763x = 1,059,977,320,704
  5. Step 5: Solve for x
    x = 1,059,977,320,704/470,763
  6. Step 6: Final answer
    x = 2,251,615.61

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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.