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Finding the Third Proportional to 734,610,147 and 1,123,280,364

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Solution

The third proportional to 734,610,147 and 1,123,280,364 is: 1,717,589,637.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    734,610,147 : 1,123,280,364 = 1,123,280,364 : x
  2. Step 2: Convert to fraction form
    734,610,147/1,123,280,364 = 1,123,280,364/x
  3. Step 3: Cross multiply
    734,610,147x = 1,123,280,364 × 1,123,280,364
  4. Step 4: Simplify right side
    734,610,147x = 1,261,758,776,147,972,608
  5. Step 5: Solve for x
    x = 1,261,758,776,147,972,608/734,610,147
  6. Step 6: Final answer
    x = 1,717,589,637.58

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.