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Finding the Third Proportional to 714,300 and 1,078,749

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Solution

The third proportional to 714,300 and 1,078,749 is: 1,629,146.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    714,300 : 1,078,749 = 1,078,749 : x
  2. Step 2: Convert to fraction form
    714,300/1,078,749 = 1,078,749/x
  3. Step 3: Cross multiply
    714,300x = 1,078,749 × 1,078,749
  4. Step 4: Simplify right side
    714,300x = 1,163,699,405,001
  5. Step 5: Solve for x
    x = 1,163,699,405,001/714,300
  6. Step 6: Final answer
    x = 1,629,146.58

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.