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Finding the Third Proportional to 570,448,738 and 1,250,256,200

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Solution

The third proportional to 570,448,738 and 1,250,256,200 is: 2,740,194,624.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    570,448,738 : 1,250,256,200 = 1,250,256,200 : x
  2. Step 2: Convert to fraction form
    570,448,738/1,250,256,200 = 1,250,256,200/x
  3. Step 3: Cross multiply
    570,448,738x = 1,250,256,200 × 1,250,256,200
  4. Step 4: Simplify right side
    570,448,738x = 1,563,140,565,638,439,936
  5. Step 5: Solve for x
    x = 1,563,140,565,638,439,936/570,448,738
  6. Step 6: Final answer
    x = 2,740,194,624.88

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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.