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Finding the Third Proportional to 286,159,896 and 619,859,187

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Solution

The third proportional to 286,159,896 and 619,859,187 is: 1,342,694,825.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,159,896 : 619,859,187 = 619,859,187 : x
  2. Step 2: Convert to fraction form
    286,159,896/619,859,187 = 619,859,187/x
  3. Step 3: Cross multiply
    286,159,896x = 619,859,187 × 619,859,187
  4. Step 4: Simplify right side
    286,159,896x = 384,225,411,708,300,992
  5. Step 5: Solve for x
    x = 384,225,411,708,300,992/286,159,896
  6. Step 6: Final answer
    x = 1,342,694,825.79

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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.