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Finding the Third Proportional to 816,216 and 1,731,240

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Solution

The third proportional to 816,216 and 1,731,240 is: 3,672,057.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    816,216 : 1,731,240 = 1,731,240 : x
  2. Step 2: Convert to fraction form
    816,216/1,731,240 = 1,731,240/x
  3. Step 3: Cross multiply
    816,216x = 1,731,240 × 1,731,240
  4. Step 4: Simplify right side
    816,216x = 2,997,191,937,600
  5. Step 5: Solve for x
    x = 2,997,191,937,600/816,216
  6. Step 6: Final answer
    x = 3,672,057.32

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.