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Finding the Third Proportional to 448,470 and 955,080

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Solution

The third proportional to 448,470 and 955,080 is: 2,033,977.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    448,470 : 955,080 = 955,080 : x
  2. Step 2: Convert to fraction form
    448,470/955,080 = 955,080/x
  3. Step 3: Cross multiply
    448,470x = 955,080 × 955,080
  4. Step 4: Simplify right side
    448,470x = 912,177,806,400
  5. Step 5: Solve for x
    x = 912,177,806,400/448,470
  6. Step 6: Final answer
    x = 2,033,977.31

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.