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Finding the Third Proportional to 472,632 and 1,037,109

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Solution

The third proportional to 472,632 and 1,037,109 is: 2,275,755.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,632 : 1,037,109 = 1,037,109 : x
  2. Step 2: Convert to fraction form
    472,632/1,037,109 = 1,037,109/x
  3. Step 3: Cross multiply
    472,632x = 1,037,109 × 1,037,109
  4. Step 4: Simplify right side
    472,632x = 1,075,595,077,881
  5. Step 5: Solve for x
    x = 1,075,595,077,881/472,632
  6. Step 6: Final answer
    x = 2,275,755.93

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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.