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Finding the Third Proportional to 510,901,290 and 1,118,524,734

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Solution

The third proportional to 510,901,290 and 1,118,524,734 is: 2,448,804,896.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,901,290 : 1,118,524,734 = 1,118,524,734 : x
  2. Step 2: Convert to fraction form
    510,901,290/1,118,524,734 = 1,118,524,734/x
  3. Step 3: Cross multiply
    510,901,290x = 1,118,524,734 × 1,118,524,734
  4. Step 4: Simplify right side
    510,901,290x = 1,251,097,580,569,770,752
  5. Step 5: Solve for x
    x = 1,251,097,580,569,770,752/510,901,290
  6. Step 6: Final answer
    x = 2,448,804,896.48

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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.