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Finding the Third Proportional to 570,448,673 and 1,250,256,094

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Solution

The third proportional to 570,448,673 and 1,250,256,094 is: 2,740,194,472.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    570,448,673 : 1,250,256,094 = 1,250,256,094 : x
  2. Step 2: Convert to fraction form
    570,448,673/1,250,256,094 = 1,250,256,094/x
  3. Step 3: Cross multiply
    570,448,673x = 1,250,256,094 × 1,250,256,094
  4. Step 4: Simplify right side
    570,448,673x = 1,563,140,300,584,136,960
  5. Step 5: Solve for x
    x = 1,563,140,300,584,136,960/570,448,673
  6. Step 6: Final answer
    x = 2,740,194,472.47

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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.