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Finding the Third Proportional to 730,946 and 1,760,933

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Solution

The third proportional to 730,946 and 1,760,933 is: 4,242,290.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    730,946 : 1,760,933 = 1,760,933 : x
  2. Step 2: Convert to fraction form
    730,946/1,760,933 = 1,760,933/x
  3. Step 3: Cross multiply
    730,946x = 1,760,933 × 1,760,933
  4. Step 4: Simplify right side
    730,946x = 3,100,885,030,489
  5. Step 5: Solve for x
    x = 3,100,885,030,489/730,946
  6. Step 6: Final answer
    x = 4,242,290.17

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These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.