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Finding the Third Proportional to 480,780 and 1,028,264

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Solution

The third proportional to 480,780 and 1,028,264 is: 2,199,190.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    480,780 : 1,028,264 = 1,028,264 : x
  2. Step 2: Convert to fraction form
    480,780/1,028,264 = 1,028,264/x
  3. Step 3: Cross multiply
    480,780x = 1,028,264 × 1,028,264
  4. Step 4: Simplify right side
    480,780x = 1,057,326,853,696
  5. Step 5: Solve for x
    x = 1,057,326,853,696/480,780
  6. Step 6: Final answer
    x = 2,199,190.59

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.