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Finding the Third Proportional to 256,625,818 and 526,856,124

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Solution

The third proportional to 256,625,818 and 526,856,124 is: 1,081,642,437.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,625,818 : 526,856,124 = 526,856,124 : x
  2. Step 2: Convert to fraction form
    256,625,818/526,856,124 = 526,856,124/x
  3. Step 3: Cross multiply
    256,625,818x = 526,856,124 × 526,856,124
  4. Step 4: Simplify right side
    256,625,818x = 277,577,375,396,303,360
  5. Step 5: Solve for x
    x = 277,577,375,396,303,360/256,625,818
  6. Step 6: Final answer
    x = 1,081,642,437.85

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Why These Related Problems?

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