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Finding the Third Proportional to 472,630 and 1,037,108

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Solution

The third proportional to 472,630 and 1,037,108 is: 2,275,761.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,630 : 1,037,108 = 1,037,108 : x
  2. Step 2: Convert to fraction form
    472,630/1,037,108 = 1,037,108/x
  3. Step 3: Cross multiply
    472,630x = 1,037,108 × 1,037,108
  4. Step 4: Simplify right side
    472,630x = 1,075,593,003,664
  5. Step 5: Solve for x
    x = 1,075,593,003,664/472,630
  6. Step 6: Final answer
    x = 2,275,761.17

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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.