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Finding the Third Proportional to 472,665 and 1,037,202

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Solution

The third proportional to 472,665 and 1,037,202 is: 2,276,005.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,665 : 1,037,202 = 1,037,202 : x
  2. Step 2: Convert to fraction form
    472,665/1,037,202 = 1,037,202/x
  3. Step 3: Cross multiply
    472,665x = 1,037,202 × 1,037,202
  4. Step 4: Simplify right side
    472,665x = 1,075,787,988,804
  5. Step 5: Solve for x
    x = 1,075,787,988,804/472,665
  6. Step 6: Final answer
    x = 2,276,005.18

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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.