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Finding the Third Proportional to 852,996 and 1,810,952

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Solution

The third proportional to 852,996 and 1,810,952 is: 3,844,739.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    852,996 : 1,810,952 = 1,810,952 : x
  2. Step 2: Convert to fraction form
    852,996/1,810,952 = 1,810,952/x
  3. Step 3: Cross multiply
    852,996x = 1,810,952 × 1,810,952
  4. Step 4: Simplify right side
    852,996x = 3,279,547,146,304
  5. Step 5: Solve for x
    x = 3,279,547,146,304/852,996
  6. Step 6: Final answer
    x = 3,844,739.19

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.