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Finding the Third Proportional to 832,550 and 1,783,201

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Solution

The third proportional to 832,550 and 1,783,201 is: 3,819,357.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    832,550 : 1,783,201 = 1,783,201 : x
  2. Step 2: Convert to fraction form
    832,550/1,783,201 = 1,783,201/x
  3. Step 3: Cross multiply
    832,550x = 1,783,201 × 1,783,201
  4. Step 4: Simplify right side
    832,550x = 3,179,805,806,401
  5. Step 5: Solve for x
    x = 3,179,805,806,401/832,550
  6. Step 6: Final answer
    x = 3,819,357.16

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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.