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Finding the Third Proportional to 283,810,849 and 611,921,570

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Solution

The third proportional to 283,810,849 and 611,921,570 is: 1,319,357,625.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,810,849 : 611,921,570 = 611,921,570 : x
  2. Step 2: Convert to fraction form
    283,810,849/611,921,570 = 611,921,570/x
  3. Step 3: Cross multiply
    283,810,849x = 611,921,570 × 611,921,570
  4. Step 4: Simplify right side
    283,810,849x = 374,448,007,831,264,896
  5. Step 5: Solve for x
    x = 374,448,007,831,264,896/283,810,849
  6. Step 6: Final answer
    x = 1,319,357,625.51

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.