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Finding the Third Proportional to 529,174 and 1,161,122

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Solution

The third proportional to 529,174 and 1,161,122 is: 2,547,752.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    529,174 : 1,161,122 = 1,161,122 : x
  2. Step 2: Convert to fraction form
    529,174/1,161,122 = 1,161,122/x
  3. Step 3: Cross multiply
    529,174x = 1,161,122 × 1,161,122
  4. Step 4: Simplify right side
    529,174x = 1,348,204,298,884
  5. Step 5: Solve for x
    x = 1,348,204,298,884/529,174
  6. Step 6: Final answer
    x = 2,547,752.34

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.