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Finding the Third Proportional to 481,470 and 1,043,220

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Solution

The third proportional to 481,470 and 1,043,220 is: 2,260,385.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    481,470 : 1,043,220 = 1,043,220 : x
  2. Step 2: Convert to fraction form
    481,470/1,043,220 = 1,043,220/x
  3. Step 3: Cross multiply
    481,470x = 1,043,220 × 1,043,220
  4. Step 4: Simplify right side
    481,470x = 1,088,307,968,400
  5. Step 5: Solve for x
    x = 1,088,307,968,400/481,470
  6. Step 6: Final answer
    x = 2,260,385.84

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.