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Finding the Third Proportional to 403,366 and 877,852

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Solution

The third proportional to 403,366 and 877,852 is: 1,910,483.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,366 : 877,852 = 877,852 : x
  2. Step 2: Convert to fraction form
    403,366/877,852 = 877,852/x
  3. Step 3: Cross multiply
    403,366x = 877,852 × 877,852
  4. Step 4: Simplify right side
    403,366x = 770,624,133,904
  5. Step 5: Solve for x
    x = 770,624,133,904/403,366
  6. Step 6: Final answer
    x = 1,910,483.62

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.