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Finding the Third Proportional to 570,448,683 and 1,250,256,114

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Solution

The third proportional to 570,448,683 and 1,250,256,114 is: 2,740,194,512.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    570,448,683 : 1,250,256,114 = 1,250,256,114 : x
  2. Step 2: Convert to fraction form
    570,448,683/1,250,256,114 = 1,250,256,114/x
  3. Step 3: Cross multiply
    570,448,683x = 1,250,256,114 × 1,250,256,114
  4. Step 4: Simplify right side
    570,448,683x = 1,563,140,350,594,381,056
  5. Step 5: Solve for x
    x = 1,563,140,350,594,381,056/570,448,683
  6. Step 6: Final answer
    x = 2,740,194,512.11

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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.