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Finding the Third Proportional to 689,901 and 1,508,052

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Solution

The third proportional to 689,901 and 1,508,052 is: 3,296,445.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    689,901 : 1,508,052 = 1,508,052 : x
  2. Step 2: Convert to fraction form
    689,901/1,508,052 = 1,508,052/x
  3. Step 3: Cross multiply
    689,901x = 1,508,052 × 1,508,052
  4. Step 4: Simplify right side
    689,901x = 2,274,220,834,704
  5. Step 5: Solve for x
    x = 2,274,220,834,704/689,901
  6. Step 6: Final answer
    x = 3,296,445.19

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.