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Finding the Third Proportional to 469,922 and 1,044,484

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Solution

The third proportional to 469,922 and 1,044,484 is: 2,321,548.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,922 : 1,044,484 = 1,044,484 : x
  2. Step 2: Convert to fraction form
    469,922/1,044,484 = 1,044,484/x
  3. Step 3: Cross multiply
    469,922x = 1,044,484 × 1,044,484
  4. Step 4: Simplify right side
    469,922x = 1,090,946,826,256
  5. Step 5: Solve for x
    x = 1,090,946,826,256/469,922
  6. Step 6: Final answer
    x = 2,321,548.74

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.