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Finding the Third Proportional to 469,920 and 1,044,480

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Solution

The third proportional to 469,920 and 1,044,480 is: 2,321,540.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,920 : 1,044,480 = 1,044,480 : x
  2. Step 2: Convert to fraction form
    469,920/1,044,480 = 1,044,480/x
  3. Step 3: Cross multiply
    469,920x = 1,044,480 × 1,044,480
  4. Step 4: Simplify right side
    469,920x = 1,090,938,470,400
  5. Step 5: Solve for x
    x = 1,090,938,470,400/469,920
  6. Step 6: Final answer
    x = 2,321,540.84

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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.