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Finding the Third Proportional to 707,841 and 1,533,753

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Solution

The third proportional to 707,841 and 1,533,753 is: 3,323,342.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    707,841 : 1,533,753 = 1,533,753 : x
  2. Step 2: Convert to fraction form
    707,841/1,533,753 = 1,533,753/x
  3. Step 3: Cross multiply
    707,841x = 1,533,753 × 1,533,753
  4. Step 4: Simplify right side
    707,841x = 2,352,398,265,009
  5. Step 5: Solve for x
    x = 2,352,398,265,009/707,841
  6. Step 6: Final answer
    x = 3,323,342.76

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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.