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Finding the Third Proportional to 510,456 and 1,119,072

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Solution

The third proportional to 510,456 and 1,119,072 is: 2,453,340.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,456 : 1,119,072 = 1,119,072 : x
  2. Step 2: Convert to fraction form
    510,456/1,119,072 = 1,119,072/x
  3. Step 3: Cross multiply
    510,456x = 1,119,072 × 1,119,072
  4. Step 4: Simplify right side
    510,456x = 1,252,322,141,184
  5. Step 5: Solve for x
    x = 1,252,322,141,184/510,456
  6. Step 6: Final answer
    x = 2,453,340.04

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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.