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Finding the Third Proportional to 791,054 and 1,638,160

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Solution

The third proportional to 791,054 and 1,638,160 is: 3,392,395.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    791,054 : 1,638,160 = 1,638,160 : x
  2. Step 2: Convert to fraction form
    791,054/1,638,160 = 1,638,160/x
  3. Step 3: Cross multiply
    791,054x = 1,638,160 × 1,638,160
  4. Step 4: Simplify right side
    791,054x = 2,683,568,185,600
  5. Step 5: Solve for x
    x = 2,683,568,185,600/791,054
  6. Step 6: Final answer
    x = 3,392,395.70

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.