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Finding the Third Proportional to 286,161,341 and 619,862,205

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Solution

The third proportional to 286,161,341 and 619,862,205 is: 1,342,701,120.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,161,341 : 619,862,205 = 619,862,205 : x
  2. Step 2: Convert to fraction form
    286,161,341/619,862,205 = 619,862,205/x
  3. Step 3: Cross multiply
    286,161,341x = 619,862,205 × 619,862,205
  4. Step 4: Simplify right side
    286,161,341x = 384,229,153,187,462,016
  5. Step 5: Solve for x
    x = 384,229,153,187,462,016/286,161,341
  6. Step 6: Final answer
    x = 1,342,701,120.44

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.