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Finding the Third Proportional to 780,147 and 1,703,856

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Solution

The third proportional to 780,147 and 1,703,856 is: 3,721,254.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    780,147 : 1,703,856 = 1,703,856 : x
  2. Step 2: Convert to fraction form
    780,147/1,703,856 = 1,703,856/x
  3. Step 3: Cross multiply
    780,147x = 1,703,856 × 1,703,856
  4. Step 4: Simplify right side
    780,147x = 2,903,125,268,736
  5. Step 5: Solve for x
    x = 2,903,125,268,736/780,147
  6. Step 6: Final answer
    x = 3,721,254.16

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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.