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Finding the Third Proportional to 772,938 and 1,652,020

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Solution

The third proportional to 772,938 and 1,652,020 is: 3,530,904.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    772,938 : 1,652,020 = 1,652,020 : x
  2. Step 2: Convert to fraction form
    772,938/1,652,020 = 1,652,020/x
  3. Step 3: Cross multiply
    772,938x = 1,652,020 × 1,652,020
  4. Step 4: Simplify right side
    772,938x = 2,729,170,080,400
  5. Step 5: Solve for x
    x = 2,729,170,080,400/772,938
  6. Step 6: Final answer
    x = 3,530,904.26

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Why These Related Problems?

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