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Finding the Third Proportional to 475,480,659 and 1,035,373,228

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Solution

The third proportional to 475,480,659 and 1,035,373,228 is: 2,254,555,891.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,480,659 : 1,035,373,228 = 1,035,373,228 : x
  2. Step 2: Convert to fraction form
    475,480,659/1,035,373,228 = 1,035,373,228/x
  3. Step 3: Cross multiply
    475,480,659x = 1,035,373,228 × 1,035,373,228
  4. Step 4: Simplify right side
    475,480,659x = 1,071,997,721,259,139,968
  5. Step 5: Solve for x
    x = 1,071,997,721,259,139,968/475,480,659
  6. Step 6: Final answer
    x = 2,254,555,891.96

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.