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Finding the Third Proportional to 493,466 and 1,076,174

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Solution

The third proportional to 493,466 and 1,076,174 is: 2,346,971.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,466 : 1,076,174 = 1,076,174 : x
  2. Step 2: Convert to fraction form
    493,466/1,076,174 = 1,076,174/x
  3. Step 3: Cross multiply
    493,466x = 1,076,174 × 1,076,174
  4. Step 4: Simplify right side
    493,466x = 1,158,150,478,276
  5. Step 5: Solve for x
    x = 1,158,150,478,276/493,466
  6. Step 6: Final answer
    x = 2,346,971.18

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.