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Finding the Third Proportional to 795,102 and 1,730,174

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Solution

The third proportional to 795,102 and 1,730,174 is: 3,764,928.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    795,102 : 1,730,174 = 1,730,174 : x
  2. Step 2: Convert to fraction form
    795,102/1,730,174 = 1,730,174/x
  3. Step 3: Cross multiply
    795,102x = 1,730,174 × 1,730,174
  4. Step 4: Simplify right side
    795,102x = 2,993,502,070,276
  5. Step 5: Solve for x
    x = 2,993,502,070,276/795,102
  6. Step 6: Final answer
    x = 3,764,928.36

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.