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Finding the Third Proportional to 473,112 and 1,033,632

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Solution

The third proportional to 473,112 and 1,033,632 is: 2,258,228.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,112 : 1,033,632 = 1,033,632 : x
  2. Step 2: Convert to fraction form
    473,112/1,033,632 = 1,033,632/x
  3. Step 3: Cross multiply
    473,112x = 1,033,632 × 1,033,632
  4. Step 4: Simplify right side
    473,112x = 1,068,395,111,424
  5. Step 5: Solve for x
    x = 1,068,395,111,424/473,112
  6. Step 6: Final answer
    x = 2,258,228.73

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.