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Finding the Third Proportional to 772,822 and 1,652,000

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Solution

The third proportional to 772,822 and 1,652,000 is: 3,531,348.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    772,822 : 1,652,000 = 1,652,000 : x
  2. Step 2: Convert to fraction form
    772,822/1,652,000 = 1,652,000/x
  3. Step 3: Cross multiply
    772,822x = 1,652,000 × 1,652,000
  4. Step 4: Simplify right side
    772,822x = 2,729,104,000,000
  5. Step 5: Solve for x
    x = 2,729,104,000,000/772,822
  6. Step 6: Final answer
    x = 3,531,348.75

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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.