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Finding the Third Proportional to 1,028,259,171 and 1,566,481,720

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Solution

The third proportional to 1,028,259,171 and 1,566,481,720 is: 2,386,426,543.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,028,259,171 : 1,566,481,720 = 1,566,481,720 : x
  2. Step 2: Convert to fraction form
    1,028,259,171/1,566,481,720 = 1,566,481,720/x
  3. Step 3: Cross multiply
    1,028,259,171x = 1,566,481,720 × 1,566,481,720
  4. Step 4: Simplify right side
    1,028,259,171x = 2,453,864,979,094,158,336
  5. Step 5: Solve for x
    x = 2,453,864,979,094,158,336/1,028,259,171
  6. Step 6: Final answer
    x = 2,386,426,543.33

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.