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Finding the Third Proportional to 453,780 and 954,000

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Solution

The third proportional to 453,780 and 954,000 is: 2,005,632.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    453,780 : 954,000 = 954,000 : x
  2. Step 2: Convert to fraction form
    453,780/954,000 = 954,000/x
  3. Step 3: Cross multiply
    453,780x = 954,000 × 954,000
  4. Step 4: Simplify right side
    453,780x = 910,116,000,000
  5. Step 5: Solve for x
    x = 910,116,000,000/453,780
  6. Step 6: Final answer
    x = 2,005,632.69

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.