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Finding the Third Proportional to 259,865,122 and 577,831,986

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Solution

The third proportional to 259,865,122 and 577,831,986 is: 1,284,858,088.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,865,122 : 577,831,986 = 577,831,986 : x
  2. Step 2: Convert to fraction form
    259,865,122/577,831,986 = 577,831,986/x
  3. Step 3: Cross multiply
    259,865,122x = 577,831,986 × 577,831,986
  4. Step 4: Simplify right side
    259,865,122x = 333,889,804,044,704,192
  5. Step 5: Solve for x
    x = 333,889,804,044,704,192/259,865,122
  6. Step 6: Final answer
    x = 1,284,858,088.98

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.