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Finding the Third Proportional to 486,232 and 1,050,224

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Solution

The third proportional to 486,232 and 1,050,224 is: 2,268,403.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    486,232 : 1,050,224 = 1,050,224 : x
  2. Step 2: Convert to fraction form
    486,232/1,050,224 = 1,050,224/x
  3. Step 3: Cross multiply
    486,232x = 1,050,224 × 1,050,224
  4. Step 4: Simplify right side
    486,232x = 1,102,970,450,176
  5. Step 5: Solve for x
    x = 1,102,970,450,176/486,232
  6. Step 6: Final answer
    x = 2,268,403.66

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.