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Finding the Third Proportional to 798,152 and 1,239,200

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Solution

The third proportional to 798,152 and 1,239,200 is: 1,923,965.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    798,152 : 1,239,200 = 1,239,200 : x
  2. Step 2: Convert to fraction form
    798,152/1,239,200 = 1,239,200/x
  3. Step 3: Cross multiply
    798,152x = 1,239,200 × 1,239,200
  4. Step 4: Simplify right side
    798,152x = 1,535,616,640,000
  5. Step 5: Solve for x
    x = 1,535,616,640,000/798,152
  6. Step 6: Final answer
    x = 1,923,965.16

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.