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Finding the Third Proportional to 283,263,465 and 609,573,644

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Solution

The third proportional to 283,263,465 and 609,573,644 is: 1,311,782,398.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,263,465 : 609,573,644 = 609,573,644 : x
  2. Step 2: Convert to fraction form
    283,263,465/609,573,644 = 609,573,644/x
  3. Step 3: Cross multiply
    283,263,465x = 609,573,644 × 609,573,644
  4. Step 4: Simplify right side
    283,263,465x = 371,580,027,459,438,720
  5. Step 5: Solve for x
    x = 371,580,027,459,438,720/283,263,465
  6. Step 6: Final answer
    x = 1,311,782,398.27

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.