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Finding the Third Proportional to 898,239,327 and 1,965,806,373

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Solution

The third proportional to 898,239,327 and 1,965,806,373 is: 4,302,188,269.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    898,239,327 : 1,965,806,373 = 1,965,806,373 : x
  2. Step 2: Convert to fraction form
    898,239,327/1,965,806,373 = 1,965,806,373/x
  3. Step 3: Cross multiply
    898,239,327x = 1,965,806,373 × 1,965,806,373
  4. Step 4: Simplify right side
    898,239,327x = 3,864,394,696,127,415,296
  5. Step 5: Solve for x
    x = 3,864,394,696,127,415,296/898,239,327
  6. Step 6: Final answer
    x = 4,302,188,269.84

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.