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Finding the Third Proportional to 487,738 and 1,064,852

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Solution

The third proportional to 487,738 and 1,064,852 is: 2,324,833.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    487,738 : 1,064,852 = 1,064,852 : x
  2. Step 2: Convert to fraction form
    487,738/1,064,852 = 1,064,852/x
  3. Step 3: Cross multiply
    487,738x = 1,064,852 × 1,064,852
  4. Step 4: Simplify right side
    487,738x = 1,133,909,781,904
  5. Step 5: Solve for x
    x = 1,133,909,781,904/487,738
  6. Step 6: Final answer
    x = 2,324,833.79

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.