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Finding the Third Proportional to 2,081,808.50 and 4,642,292

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Solution

The third proportional to 2,081,808.50 and 4,642,292 is: 10,351,996.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,081,808.50 : 4,642,292 = 4,642,292 : x
  2. Step 2: Convert to fraction form
    2,081,808.50/4,642,292 = 4,642,292/x
  3. Step 3: Cross multiply
    2,081,808.50x = 4,642,292 × 4,642,292
  4. Step 4: Simplify right side
    2,081,808.50x = 21,550,875,013,264
  5. Step 5: Solve for x
    x = 21,550,875,013,264/2,081,808.50
  6. Step 6: Final answer
    x = 10,351,996.84

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.