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Finding the Third Proportional to 730,629 and 1,146,424

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Solution

The third proportional to 730,629 and 1,146,424 is: 1,798,844.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    730,629 : 1,146,424 = 1,146,424 : x
  2. Step 2: Convert to fraction form
    730,629/1,146,424 = 1,146,424/x
  3. Step 3: Cross multiply
    730,629x = 1,146,424 × 1,146,424
  4. Step 4: Simplify right side
    730,629x = 1,314,287,987,776
  5. Step 5: Solve for x
    x = 1,314,287,987,776/730,629
  6. Step 6: Final answer
    x = 1,798,844.54

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.