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Finding the Third Proportional to 732,918 and 1,121,174

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Solution

The third proportional to 732,918 and 1,121,174 is: 1,715,104.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    732,918 : 1,121,174 = 1,121,174 : x
  2. Step 2: Convert to fraction form
    732,918/1,121,174 = 1,121,174/x
  3. Step 3: Cross multiply
    732,918x = 1,121,174 × 1,121,174
  4. Step 4: Simplify right side
    732,918x = 1,257,031,138,276
  5. Step 5: Solve for x
    x = 1,257,031,138,276/732,918
  6. Step 6: Final answer
    x = 1,715,104.74

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.