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Finding the Third Proportional to 802,864.50 and 1,174,157

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Solution

The third proportional to 802,864.50 and 1,174,157 is: 1,717,157.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    802,864.50 : 1,174,157 = 1,174,157 : x
  2. Step 2: Convert to fraction form
    802,864.50/1,174,157 = 1,174,157/x
  3. Step 3: Cross multiply
    802,864.50x = 1,174,157 × 1,174,157
  4. Step 4: Simplify right side
    802,864.50x = 1,378,644,660,649
  5. Step 5: Solve for x
    x = 1,378,644,660,649/802,864.50
  6. Step 6: Final answer
    x = 1,717,157.33

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.