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Finding the Third Proportional to 1,045,338 and 1,472,094

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Solution

The third proportional to 1,045,338 and 1,472,094 is: 2,073,071.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,045,338 : 1,472,094 = 1,472,094 : x
  2. Step 2: Convert to fraction form
    1,045,338/1,472,094 = 1,472,094/x
  3. Step 3: Cross multiply
    1,045,338x = 1,472,094 × 1,472,094
  4. Step 4: Simplify right side
    1,045,338x = 2,167,060,744,836
  5. Step 5: Solve for x
    x = 2,167,060,744,836/1,045,338
  6. Step 6: Final answer
    x = 2,073,071.81

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.