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Finding the Third Proportional to 794,756 and 1,703,146

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Solution

The third proportional to 794,756 and 1,703,146 is: 3,649,807.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    794,756 : 1,703,146 = 1,703,146 : x
  2. Step 2: Convert to fraction form
    794,756/1,703,146 = 1,703,146/x
  3. Step 3: Cross multiply
    794,756x = 1,703,146 × 1,703,146
  4. Step 4: Simplify right side
    794,756x = 2,900,706,297,316
  5. Step 5: Solve for x
    x = 2,900,706,297,316/794,756
  6. Step 6: Final answer
    x = 3,649,807.36

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.