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Finding the Third Proportional to 746,914 and 1,148,056

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Solution

The third proportional to 746,914 and 1,148,056 is: 1,764,637.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    746,914 : 1,148,056 = 1,148,056 : x
  2. Step 2: Convert to fraction form
    746,914/1,148,056 = 1,148,056/x
  3. Step 3: Cross multiply
    746,914x = 1,148,056 × 1,148,056
  4. Step 4: Simplify right side
    746,914x = 1,318,032,579,136
  5. Step 5: Solve for x
    x = 1,318,032,579,136/746,914
  6. Step 6: Final answer
    x = 1,764,637.67

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.