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Finding the Third Proportional to 901,026 and 1,601,730

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Solution

The third proportional to 901,026 and 1,601,730 is: 2,847,352.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    901,026 : 1,601,730 = 1,601,730 : x
  2. Step 2: Convert to fraction form
    901,026/1,601,730 = 1,601,730/x
  3. Step 3: Cross multiply
    901,026x = 1,601,730 × 1,601,730
  4. Step 4: Simplify right side
    901,026x = 2,565,538,992,900
  5. Step 5: Solve for x
    x = 2,565,538,992,900/901,026
  6. Step 6: Final answer
    x = 2,847,352.90

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Why These Related Problems?

These problems maintain the same ratio (1.78) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.