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Finding the Third Proportional to 841,504 and 1,825,677

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Solution

The third proportional to 841,504 and 1,825,677 is: 3,960,880.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    841,504 : 1,825,677 = 1,825,677 : x
  2. Step 2: Convert to fraction form
    841,504/1,825,677 = 1,825,677/x
  3. Step 3: Cross multiply
    841,504x = 1,825,677 × 1,825,677
  4. Step 4: Simplify right side
    841,504x = 3,333,096,508,329
  5. Step 5: Solve for x
    x = 3,333,096,508,329/841,504
  6. Step 6: Final answer
    x = 3,960,880.17

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.