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Finding the Third Proportional to 510,412 and 1,118,516

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Solution

The third proportional to 510,412 and 1,118,516 is: 2,451,114.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,412 : 1,118,516 = 1,118,516 : x
  2. Step 2: Convert to fraction form
    510,412/1,118,516 = 1,118,516/x
  3. Step 3: Cross multiply
    510,412x = 1,118,516 × 1,118,516
  4. Step 4: Simplify right side
    510,412x = 1,251,078,042,256
  5. Step 5: Solve for x
    x = 1,251,078,042,256/510,412
  6. Step 6: Final answer
    x = 2,451,114.08

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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.