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Finding the Third Proportional to 816,102 and 1,750,300

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Solution

The third proportional to 816,102 and 1,750,300 is: 3,753,881.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    816,102 : 1,750,300 = 1,750,300 : x
  2. Step 2: Convert to fraction form
    816,102/1,750,300 = 1,750,300/x
  3. Step 3: Cross multiply
    816,102x = 1,750,300 × 1,750,300
  4. Step 4: Simplify right side
    816,102x = 3,063,550,090,000
  5. Step 5: Solve for x
    x = 3,063,550,090,000/816,102
  6. Step 6: Final answer
    x = 3,753,881.37

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.