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Finding the Third Proportional to 707,846 and 1,533,763

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Solution

The third proportional to 707,846 and 1,533,763 is: 3,323,362.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    707,846 : 1,533,763 = 1,533,763 : x
  2. Step 2: Convert to fraction form
    707,846/1,533,763 = 1,533,763/x
  3. Step 3: Cross multiply
    707,846x = 1,533,763 × 1,533,763
  4. Step 4: Simplify right side
    707,846x = 2,352,428,940,169
  5. Step 5: Solve for x
    x = 2,352,428,940,169/707,846
  6. Step 6: Final answer
    x = 3,323,362.62

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.