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Finding the Third Proportional to 600,780 and 901,289.63

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Solution

The third proportional to 600,780 and 901,289.63 is: 1,352,113.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    600,780 : 901,289.63 = 901,289.63 : x
  2. Step 2: Convert to fraction form
    600,780/901,289.63 = 901,289.63/x
  3. Step 3: Cross multiply
    600,780x = 901,289.63 × 901,289.63
  4. Step 4: Simplify right side
    600,780x = 812,322,988,132.64
  5. Step 5: Solve for x
    x = 812,322,988,132.64/600,780
  6. Step 6: Final answer
    x = 1,352,113.90

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.