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Finding the Third Proportional to 512,207,705 and 1,102,101,126

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Solution

The third proportional to 512,207,705 and 1,102,101,126 is: 2,371,356,151.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,207,705 : 1,102,101,126 = 1,102,101,126 : x
  2. Step 2: Convert to fraction form
    512,207,705/1,102,101,126 = 1,102,101,126/x
  3. Step 3: Cross multiply
    512,207,705x = 1,102,101,126 × 1,102,101,126
  4. Step 4: Simplify right side
    512,207,705x = 1,214,626,891,930,467,840
  5. Step 5: Solve for x
    x = 1,214,626,891,930,467,840/512,207,705
  6. Step 6: Final answer
    x = 2,371,356,151.17

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.