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Finding the Third Proportional to 820,132 and 1,775,046

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Solution

The third proportional to 820,132 and 1,775,046 is: 3,841,806.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    820,132 : 1,775,046 = 1,775,046 : x
  2. Step 2: Convert to fraction form
    820,132/1,775,046 = 1,775,046/x
  3. Step 3: Cross multiply
    820,132x = 1,775,046 × 1,775,046
  4. Step 4: Simplify right side
    820,132x = 3,150,788,302,116
  5. Step 5: Solve for x
    x = 3,150,788,302,116/820,132
  6. Step 6: Final answer
    x = 3,841,806.32

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.