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Finding the Third Proportional to 456,844 and 1,052,902

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Solution

The third proportional to 456,844 and 1,052,902 is: 2,426,654.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,844 : 1,052,902 = 1,052,902 : x
  2. Step 2: Convert to fraction form
    456,844/1,052,902 = 1,052,902/x
  3. Step 3: Cross multiply
    456,844x = 1,052,902 × 1,052,902
  4. Step 4: Simplify right side
    456,844x = 1,108,602,621,604
  5. Step 5: Solve for x
    x = 1,108,602,621,604/456,844
  6. Step 6: Final answer
    x = 2,426,654.66

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These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.