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Finding the Third Proportional to 645,901 and 1,508,635

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Solution

The third proportional to 645,901 and 1,508,635 is: 3,523,728.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    645,901 : 1,508,635 = 1,508,635 : x
  2. Step 2: Convert to fraction form
    645,901/1,508,635 = 1,508,635/x
  3. Step 3: Cross multiply
    645,901x = 1,508,635 × 1,508,635
  4. Step 4: Simplify right side
    645,901x = 2,275,979,563,225
  5. Step 5: Solve for x
    x = 2,275,979,563,225/645,901
  6. Step 6: Final answer
    x = 3,523,728.19

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.