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Finding the Third Proportional to 802,944 and 1,174,263

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Solution

The third proportional to 802,944 and 1,174,263 is: 1,717,297.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    802,944 : 1,174,263 = 1,174,263 : x
  2. Step 2: Convert to fraction form
    802,944/1,174,263 = 1,174,263/x
  3. Step 3: Cross multiply
    802,944x = 1,174,263 × 1,174,263
  4. Step 4: Simplify right side
    802,944x = 1,378,893,593,169
  5. Step 5: Solve for x
    x = 1,378,893,593,169/802,944
  6. Step 6: Final answer
    x = 1,717,297.34

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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.