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Finding the Third Proportional to 454,968 and 1,063,224

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Solution

The third proportional to 454,968 and 1,063,224 is: 2,484,669.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    454,968 : 1,063,224 = 1,063,224 : x
  2. Step 2: Convert to fraction form
    454,968/1,063,224 = 1,063,224/x
  3. Step 3: Cross multiply
    454,968x = 1,063,224 × 1,063,224
  4. Step 4: Simplify right side
    454,968x = 1,130,445,274,176
  5. Step 5: Solve for x
    x = 1,130,445,274,176/454,968
  6. Step 6: Final answer
    x = 2,484,669.85

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.