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Finding the Third Proportional to 746,906 and 1,148,043

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Solution

The third proportional to 746,906 and 1,148,043 is: 1,764,616.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    746,906 : 1,148,043 = 1,148,043 : x
  2. Step 2: Convert to fraction form
    746,906/1,148,043 = 1,148,043/x
  3. Step 3: Cross multiply
    746,906x = 1,148,043 × 1,148,043
  4. Step 4: Simplify right side
    746,906x = 1,318,002,729,849
  5. Step 5: Solve for x
    x = 1,318,002,729,849/746,906
  6. Step 6: Final answer
    x = 1,764,616.60

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Why These Related Problems?

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