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Finding the Third Proportional to 256,625,814 and 526,856,116

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Solution

The third proportional to 256,625,814 and 526,856,116 is: 1,081,642,421.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,625,814 : 526,856,116 = 526,856,116 : x
  2. Step 2: Convert to fraction form
    256,625,814/526,856,116 = 526,856,116/x
  3. Step 3: Cross multiply
    256,625,814x = 526,856,116 × 526,856,116
  4. Step 4: Simplify right side
    256,625,814x = 277,577,366,966,605,440
  5. Step 5: Solve for x
    x = 277,577,366,966,605,440/256,625,814
  6. Step 6: Final answer
    x = 1,081,642,421.86

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These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.