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Finding the Third Proportional to 737,111 and 1,081,164

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Solution

The third proportional to 737,111 and 1,081,164 is: 1,585,806.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    737,111 : 1,081,164 = 1,081,164 : x
  2. Step 2: Convert to fraction form
    737,111/1,081,164 = 1,081,164/x
  3. Step 3: Cross multiply
    737,111x = 1,081,164 × 1,081,164
  4. Step 4: Simplify right side
    737,111x = 1,168,915,594,896
  5. Step 5: Solve for x
    x = 1,168,915,594,896/737,111
  6. Step 6: Final answer
    x = 1,585,806.74

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.