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Finding the Third Proportional to 510,901,296 and 1,118,524,746

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Solution

The third proportional to 510,901,296 and 1,118,524,746 is: 2,448,804,920.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,901,296 : 1,118,524,746 = 1,118,524,746 : x
  2. Step 2: Convert to fraction form
    510,901,296/1,118,524,746 = 1,118,524,746/x
  3. Step 3: Cross multiply
    510,901,296x = 1,118,524,746 × 1,118,524,746
  4. Step 4: Simplify right side
    510,901,296x = 1,251,097,607,414,364,416
  5. Step 5: Solve for x
    x = 1,251,097,607,414,364,416/510,901,296
  6. Step 6: Final answer
    x = 2,448,804,920.26

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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.