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Finding the Third Proportional to 730,608 and 1,146,390

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Solution

The third proportional to 730,608 and 1,146,390 is: 1,798,789.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    730,608 : 1,146,390 = 1,146,390 : x
  2. Step 2: Convert to fraction form
    730,608/1,146,390 = 1,146,390/x
  3. Step 3: Cross multiply
    730,608x = 1,146,390 × 1,146,390
  4. Step 4: Simplify right side
    730,608x = 1,314,210,032,100
  5. Step 5: Solve for x
    x = 1,314,210,032,100/730,608
  6. Step 6: Final answer
    x = 1,798,789.55

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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.