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Finding the Third Proportional to 484,938 and 1,052,820

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Solution

The third proportional to 484,938 and 1,052,820 is: 2,285,714.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    484,938 : 1,052,820 = 1,052,820 : x
  2. Step 2: Convert to fraction form
    484,938/1,052,820 = 1,052,820/x
  3. Step 3: Cross multiply
    484,938x = 1,052,820 × 1,052,820
  4. Step 4: Simplify right side
    484,938x = 1,108,429,952,400
  5. Step 5: Solve for x
    x = 1,108,429,952,400/484,938
  6. Step 6: Final answer
    x = 2,285,714.78

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.