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Finding the Third Proportional to 784,890 and 1,703,187

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Solution

The third proportional to 784,890 and 1,703,187 is: 3,695,863.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    784,890 : 1,703,187 = 1,703,187 : x
  2. Step 2: Convert to fraction form
    784,890/1,703,187 = 1,703,187/x
  3. Step 3: Cross multiply
    784,890x = 1,703,187 × 1,703,187
  4. Step 4: Simplify right side
    784,890x = 2,900,845,956,969
  5. Step 5: Solve for x
    x = 2,900,845,956,969/784,890
  6. Step 6: Final answer
    x = 3,695,863.06

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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.