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Finding the Third Proportional to 510,901,209 and 1,118,524,620

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Solution

The third proportional to 510,901,209 and 1,118,524,620 is: 2,448,804,785.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,901,209 : 1,118,524,620 = 1,118,524,620 : x
  2. Step 2: Convert to fraction form
    510,901,209/1,118,524,620 = 1,118,524,620/x
  3. Step 3: Cross multiply
    510,901,209x = 1,118,524,620 × 1,118,524,620
  4. Step 4: Simplify right side
    510,901,209x = 1,251,097,325,546,144,512
  5. Step 5: Solve for x
    x = 1,251,097,325,546,144,512/510,901,209
  6. Step 6: Final answer
    x = 2,448,804,785.56

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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.