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Finding the Third Proportional to 612,857,678 and 975,649,125

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Solution

The third proportional to 612,857,678 and 975,649,125 is: 1,553,201,092.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    612,857,678 : 975,649,125 = 975,649,125 : x
  2. Step 2: Convert to fraction form
    612,857,678/975,649,125 = 975,649,125/x
  3. Step 3: Cross multiply
    612,857,678x = 975,649,125 × 975,649,125
  4. Step 4: Simplify right side
    612,857,678x = 951,891,215,113,265,664
  5. Step 5: Solve for x
    x = 951,891,215,113,265,664/612,857,678
  6. Step 6: Final answer
    x = 1,553,201,092.66

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.